30532520400 has 120 divisors (see below), whose sum is σ = 99044196480. Its totient is φ = 8038917120.

The previous prime is 30532520393. The next prime is 30532520413. The reversal of 30532520400 is 402523503.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 66237 + ... + 255836.

It is an arithmetic number, because the mean of its divisors is an integer number (825368304).

Almost surely, 2^30532520400 is an apocalyptic number.

30532520400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30532520400 is an abundant number, since it is smaller than the sum of its proper divisors (68511676080).

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

30532520400 is a wasteful number, since it uses less digits than its factorization.

30532520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322173 (or 322162 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The spelling of 30532520400 in words is "thirty billion, five hundred thirty-two million, five hundred twenty thousand, four hundred".