9059265600 has 672 divisors, whose sum is σ = 37541216256. Its totient is φ = 1857945600.

The previous prime is 9059265587. The next prime is 9059265619. The reversal of 9059265600 is 65629509.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9059265600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46939104 + ... + 46939296.

Almost surely, 2^9059265600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9059265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770608128).

9059265600 is an abundant number, since it is smaller than the sum of its proper divisors (28481950656).

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

9059265600 is a wasteful number, since it uses less digits than its factorization.

9059265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 9059265600 is about 95180.1744062281. The cubic root of 9059265600 is about 2084.6396676732.

The spelling of 9059265600 in words is "nine billion, fifty-nine million, two hundred sixty-five thousand, six hundred".