30874421393088 has 672 divisors, whose sum is σ = 103818518092800. Its totient is φ = 8025052299264.

The previous prime is 30874421392979. The next prime is 30874421393111. The reversal of 30874421393088 is 88039312447803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×30874421393088² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5961461283 + ... + 5961466461.

It is an arithmetic number, because the mean of its divisors is an integer number (154491842400).

Almost surely, 2^{30874421393088} 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 30874421393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51909259046400).

30874421393088 is an abundant number, since it is smaller than the sum of its proper divisors (72944096699712).

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

30874421393088 is a wasteful number, since it uses less digits than its factorization.

30874421393088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 30874421393088 in words is "thirty trillion, eight hundred seventy-four billion, four hundred twenty-one million, three hundred ninety-three thousand, eighty-eight".