30023725400928 has 192 divisors, whose sum is σ = 100254366051840. Its totient is φ = 8563183142400.

The previous prime is 30023725400887. The next prime is 30023725400951. The reversal of 30023725400928 is 82900452732003.

30023725400928 is a `hidden beast` number, since 3 + 0 + 0 + 237 + 2 + 5 + 400 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×30023725400928² (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 893563 + ... + 7800378.

It is an arithmetic number, because the mean of its divisors is an integer number (522158156520).

Almost surely, 2^{30023725400928} 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 30023725400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50127183025920).

30023725400928 is an abundant number, since it is smaller than the sum of its proper divisors (70230640650912).

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

30023725400928 is a wasteful number, since it uses less digits than its factorization.

30023725400928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8694538 (or 8694524 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 30023725400928 in words is "thirty trillion, twenty-three billion, seven hundred twenty-five million, four hundred thousand, nine hundred twenty-eight".