325570568400 has 1920 divisors, whose sum is σ = 1520496967680. Its totient is φ = 64198656000.

The previous prime is 325570568383. The next prime is 325570568443. The reversal of 325570568400 is 4865075523.

325570568400 is a `hidden beast` number, since 3 + 2 + 557 + 0 + 56 + 8 + 40 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1881910714 + ... + 1881910886.

It is an arithmetic number, because the mean of its divisors is an integer number (791925504).

Almost surely, 2^325570568400 is an apocalyptic number.

325570568400 is a gapful number since it is divisible by the number (30) 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 325570568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760248483840).

325570568400 is an abundant number, since it is smaller than the sum of its proper divisors (1194926399280).

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

325570568400 is a wasteful number, since it uses less digits than its factorization.

325570568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 325570568400 in words is "three hundred twenty-five billion, five hundred seventy million, five hundred sixty-eight thousand, four hundred".