9059558400 has 660 divisors, whose sum is σ = 35658011268. Its totient is φ = 2264924160.

The previous prime is 9059558353. The next prime is 9059558437. The reversal of 9059558400 is 48559509.

9059558400 is a `hidden beast` number, since 9 + 0 + 59 + 558 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 985457664 + 8074100736 = 31392^2 + 89856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35251072 + ... + 35251328.

Almost surely, 2^9059558400 is an apocalyptic number.

9059558400 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 9059558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829005634).

9059558400 is an abundant number, since it is smaller than the sum of its proper divisors (26598452868).

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

9059558400 is a wasteful number, since it uses less digits than its factorization.

9059558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 9059558400 is about 95181.7125292459. The cubic root of 9059558400 is about 2084.6621262971.

The spelling of 9059558400 in words is "nine billion, fifty-nine million, five hundred fifty-eight thousand, four hundred".