9015825600 has 252 divisors, whose sum is σ = 32366864400. Its totient is φ = 2380032000.

The previous prime is 9015825593. The next prime is 9015825613. The reversal of 9015825600 is 65285109.

It is a happy number.

9015825600 is a `hidden beast` number, since 9 + 0 + 15 + 82 + 560 + 0 = 666.

It is a super-2 number, since 2×9015825600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1451301 + ... + 1457499.

Almost surely, 2^9015825600 is an apocalyptic number.

9015825600 is a gapful number since it is divisible by the number (90) 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 9015825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183432200).

9015825600 is an abundant number, since it is smaller than the sum of its proper divisors (23351038800).

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

9015825600 is a wasteful number, since it uses less digits than its factorization.

9015825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 9015825600 is about 94951.7014065572. The cubic root of 9015825600 is about 2081.3023155965.

The spelling of 9015825600 in words is "nine billion, fifteen million, eight hundred twenty-five thousand, six hundred".