30538397088864 has 768 divisors, whose sum is σ = 108357373071360. Its totient is φ = 8178391203840.

The previous prime is 30538397088851. The next prime is 30538397088883. The reversal of 30538397088864 is 46888079383503.

It is a happy number.

30538397088864 is a `hidden beast` number, since 3 + 0 + 5 + 383 + 97 + 0 + 88 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30538397088792 and 30538397088801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7527332724 + ... + 7527336780.

It is an arithmetic number, because the mean of its divisors is an integer number (141090329520).

Almost surely, 2^{30538397088864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30538397088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54178686535680).

30538397088864 is an abundant number, since it is smaller than the sum of its proper divisors (77818975982496).

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

30538397088864 is a wasteful number, since it uses less digits than its factorization.

30538397088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 30538397088864 in words is "thirty trillion, five hundred thirty-eight billion, three hundred ninety-seven million, eighty-eight thousand, eight hundred sixty-four".