30807993025152 has 384 divisors, whose sum is σ = 101752625520000. Its totient is φ = 8764593610752.

The previous prime is 30807993025129. The next prime is 30807993025153. The reversal of 30807993025152 is 25152039970803.

30807993025152 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 7 + 99 + 30 + 2 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (30807993025153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079786898 + ... + 2079801710.

It is an arithmetic number, because the mean of its divisors is an integer number (264980795625).

Almost surely, 2^{30807993025152} is an apocalyptic number.

30807993025152 is a gapful number since it is divisible by the number (32) 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 30807993025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50876312760000).

30807993025152 is an abundant number, since it is smaller than the sum of its proper divisors (70944632494848).

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

30807993025152 is a wasteful number, since it uses less digits than its factorization.

30807993025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928 (or 15913 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 30807993025152 in words is "thirty trillion, eight hundred seven billion, nine hundred ninety-three million, twenty-five thousand, one hundred fifty-two".