30590953952 has 96 divisors (see below), whose sum is σ = 68354082720. Its totient is φ = 13359790080.

The previous prime is 30590953951. The next prime is 30590953957. The reversal of 30590953952 is 25935909503.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30590953952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30590953951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8637302 + ... + 8640842.

It is an arithmetic number, because the mean of its divisors is an integer number (712021695).

Almost surely, 2^30590953952 is an apocalyptic number.

30590953952 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 30590953952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34177041360).

30590953952 is an abundant number, since it is smaller than the sum of its proper divisors (37763128768).

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

30590953952 is a wasteful number, since it uses less digits than its factorization.

30590953952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 1640250, while the sum is 50.

The spelling of 30590953952 in words is "thirty billion, five hundred ninety million, nine hundred fifty-three thousand, nine hundred fifty-two".