30552508800 has 1536 divisors, whose sum is σ = 135505612800. Its totient is φ = 6635520000.

The previous prime is 30552508799. The next prime is 30552508807. The reversal of 30552508800 is 880525503.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30552508807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500860770 + ... + 500860830.

It is an arithmetic number, because the mean of its divisors is an integer number (88219800).

Almost surely, 2^30552508800 is an apocalyptic number.

30552508800 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 30552508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67752806400).

30552508800 is an abundant number, since it is smaller than the sum of its proper divisors (104953104000).

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

30552508800 is a wasteful number, since it uses less digits than its factorization.

30552508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

It can be divided in two parts, 3055250 and 8800, that added together give a triangular number (3064050 = T₂₄₇₅).

The spelling of 30552508800 in words is "thirty billion, five hundred fifty-two million, five hundred eight thousand, eight hundred".