8958418560 has 896 divisors, whose sum is σ = 39706853760. Its totient is φ = 1881169920.

The previous prime is 8958418559. The next prime is 8958418561. The reversal of 8958418560 is 658148598.

It is a happy number.

8958418560 is a `hidden beast` number, since 8 + 9 + 584 + 1 + 8 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8958418559) and next prime (8958418561).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8958418497 and 8958418506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8958418561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456855 + ... + 42457065.

It is an arithmetic number, because the mean of its divisors is an integer number (44315685).

Almost surely, 2^8958418560 is an apocalyptic number.

8958418560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8958418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19853426880).

8958418560 is an abundant number, since it is smaller than the sum of its proper divisors (30748435200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8958418560 is a wasteful number, since it uses less digits than its factorization.

8958418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 8958418560 is about 94648.9226563092. The cubic root of 8958418560 is about 2076.8754368560.

It can be divided in two parts, 895841 and 8560, that added together give a square (904401 = 951²).

The spelling of 8958418560 in words is "eight billion, nine hundred fifty-eight million, four hundred eighteen thousand, five hundred sixty".