30886572672 has 640 divisors, whose sum is σ = 107168054400. Its totient is φ = 8758886400.

The previous prime is 30886572617. The next prime is 30886572683. The reversal of 30886572672 is 27627568803.

30886572672 is a `hidden beast` number, since 3 + 0 + 8 + 8 + 6 + 572 + 67 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77023672 + ... + 77024072.

It is an arithmetic number, because the mean of its divisors is an integer number (167450085).

Almost surely, 2^30886572672 is an apocalyptic number.

30886572672 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 30886572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53584027200).

30886572672 is an abundant number, since it is smaller than the sum of its proper divisors (76281481728).

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

30886572672 is a wasteful number, since it uses less digits than its factorization.

30886572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 30886572672 in words is "thirty billion, eight hundred eighty-six million, five hundred seventy-two thousand, six hundred seventy-two".