8518426560 has 840 divisors, whose sum is σ = 37209039120. Its totient is φ = 1839366144.

The previous prime is 8518426547. The next prime is 8518426573. The reversal of 8518426560 is 656248158.

8518426560 is a `hidden beast` number, since 8 + 5 + 1 + 84 + 2 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8518426547) and next prime (8518426573).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×8518426560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131344 + ... + 24131696.

Almost surely, 2^8518426560 is an apocalyptic number.

8518426560 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 8518426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604519560).

8518426560 is an abundant number, since it is smaller than the sum of its proper divisors (28690612560).

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

8518426560 is a wasteful number, since it uses less digits than its factorization.

8518426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8518426560 is about 92295.3225250337. The cubic root of 8518426560 is about 2042.3012093873.

The spelling of 8518426560 in words is "eight billion, five hundred eighteen million, four hundred twenty-six thousand, five hundred sixty".