54505772400 has 120 divisors (see below), whose sum is σ = 177894707760. Its totient is φ = 14260613120.

The previous prime is 54505772383. The next prime is 54505772417. The reversal of 54505772400 is 427750545.

It is an interprime number because it is at equal distance from previous prime (54505772383) and next prime (54505772417).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364905 + ... + 492104.

It is an arithmetic number, because the mean of its divisors is an integer number (1482455898).

Almost surely, 2^54505772400 is an apocalyptic number.

54505772400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54505772400 is an abundant number, since it is smaller than the sum of its proper divisors (123388935360).

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

54505772400 is a wasteful number, since it uses less digits than its factorization.

54505772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857083 (or 857072 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 39.

The spelling of 54505772400 in words is "fifty-four billion, five hundred five million, seven hundred seventy-two thousand, four hundred".