325556038080 has 2688 divisors, whose sum is σ = 1581581352960. Its totient is φ = 61272391680.

The previous prime is 325556038069. The next prime is 325556038151. The reversal of 325556038080 is 80830655523.

325556038080 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 560 + 3 + 8 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8798811822 + ... + 8798811858.

It is an arithmetic number, because the mean of its divisors is an integer number (588385920).

Almost surely, 2^325556038080 is an apocalyptic number.

325556038080 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 325556038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790790676480).

325556038080 is an abundant number, since it is smaller than the sum of its proper divisors (1256025314880).

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

325556038080 is a wasteful number, since it uses less digits than its factorization.

325556038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 325556038080 in words is "three hundred twenty-five billion, five hundred fifty-six million, thirty-eight thousand, eighty".