30071921652864 has 1024 divisors, whose sum is σ = 113765904000000. Its totient is φ = 7605834743808.

The previous prime is 30071921652859. The next prime is 30071921652901. The reversal of 30071921652864 is 46825612917003.

It is a happy number.

30071921652864 is a `hidden beast` number, since 30 + 0 + 7 + 1 + 9 + 21 + 6 + 528 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30071921652864.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1358926152 + ... + 1358948280.

It is an arithmetic number, because the mean of its divisors is an integer number (111099515625).

It is a 1-persistent number, because it is pandigital, but 2⋅30071921652864 = 60143843305728 is not.

Almost surely, 2^{30071921652864} 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 30071921652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56882952000000).

30071921652864 is an abundant number, since it is smaller than the sum of its proper divisors (83693982347136).

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

30071921652864 is a wasteful number, since it uses less digits than its factorization.

30071921652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22350 (or 22332 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 30071921652864 in words is "thirty trillion, seventy-one billion, nine hundred twenty-one million, six hundred fifty-two thousand, eight hundred sixty-four".