30725922574080 has 1728 divisors, whose sum is σ = 121289245983360. Its totient is φ = 7141645615104.

The previous prime is 30725922574079. The next prime is 30725922574213. The reversal of 30725922574080 is 8047522952703.

30725922574080 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 5 + 9 + 225 + 7 + 408 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15339950359 + ... + 15339952361.

It is an arithmetic number, because the mean of its divisors is an integer number (70190535870).

Almost surely, 2^{30725922574080} is an apocalyptic number.

30725922574080 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 30725922574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60644622991680).

30725922574080 is an abundant number, since it is smaller than the sum of its proper divisors (90563323409280).

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

30725922574080 is a wasteful number, since it uses less digits than its factorization.

30725922574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 30725922574080 in words is "thirty trillion, seven hundred twenty-five billion, nine hundred twenty-two million, five hundred seventy-four thousand, eighty".