30872556960 has 192 divisors, whose sum is σ = 111221413632. Its totient is φ = 7051493376.

The previous prime is 30872556917. The next prime is 30872556977. The reversal of 30872556960 is 6965527803.

It is a happy number.

It is a super-2 number, since 2×30872556960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6626952 + ... + 6631608.

It is an arithmetic number, because the mean of its divisors is an integer number (579278196).

Almost surely, 2^30872556960 is an apocalyptic number.

30872556960 is a gapful number since it is divisible by the number (30) 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 30872556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55610706816).

30872556960 is an abundant number, since it is smaller than the sum of its proper divisors (80348856672).

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

30872556960 is a wasteful number, since it uses less digits than its factorization.

30872556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 30872556960 in words is "thirty billion, eight hundred seventy-two million, five hundred fifty-six thousand, nine hundred sixty".