30952920960 has 512 divisors, whose sum is σ = 118773043200. Its totient is φ = 7573118976.

The previous prime is 30952920923. The next prime is 30952921001. The reversal of 30952920960 is 6902925903.

30952920960 is a `hidden beast` number, since 30 + 9 + 529 + 2 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50992977 + ... + 50993583.

It is an arithmetic number, because the mean of its divisors is an integer number (231978600).

Almost surely, 2^30952920960 is an apocalyptic number.

30952920960 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 30952920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59386521600).

30952920960 is an abundant number, since it is smaller than the sum of its proper divisors (87820122240).

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

30952920960 is a wasteful number, since it uses less digits than its factorization.

30952920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 30952920960 in words is "thirty billion, nine hundred fifty-two million, nine hundred twenty thousand, nine hundred sixty".