10489578624 has 512 divisors, whose sum is σ = 37225267200. Its totient is φ = 2844979200.

The previous prime is 10489578623. The next prime is 10489578637. The reversal of 10489578624 is 42687598401.

It is a happy number.

10489578624 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 9 + 5 + 7 + 8 + 624 = 666.

It is a super-2 number, since 2×10489578624² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10489578623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53246494 + ... + 53246690.

It is an arithmetic number, because the mean of its divisors is an integer number (72705600).

Almost surely, 2^10489578624 is an apocalyptic number.

10489578624 is a gapful number since it is divisible by the number (14) 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 10489578624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18612633600).

10489578624 is an abundant number, since it is smaller than the sum of its proper divisors (26735688576).

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

10489578624 is a wasteful number, since it uses less digits than its factorization.

10489578624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10489578624 in words is "ten billion, four hundred eighty-nine million, five hundred seventy-eight thousand, six hundred twenty-four".