54665631600 has 120 divisors (see below), whose sum is σ = 175380501120. Its totient is φ = 14555170560.

The previous prime is 54665631589. The next prime is 54665631617. The reversal of 54665631600 is 613656645.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756237 + ... + 825363.

It is an arithmetic number, because the mean of its divisors is an integer number (1461504176).

Almost surely, 2^54665631600 is an apocalyptic number.

54665631600 is a gapful number since it is divisible by the number (50) 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 54665631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87690250560).

54665631600 is an abundant number, since it is smaller than the sum of its proper divisors (120714869520).

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

54665631600 is a wasteful number, since it uses less digits than its factorization.

54665631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69807 (or 69796 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 54665631600 in words is "fifty-four billion, six hundred sixty-five million, six hundred thirty-one thousand, six hundred".