54932774400 has 1260 divisors, whose sum is σ = 241526969112. Its totient is φ = 12123095040.

The previous prime is 54932774399. The next prime is 54932774467. The reversal of 54932774400 is 447723945.

54932774400 is a `hidden beast` number, since 54 + 93 + 2 + 77 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 125 ways as a sum of consecutive naturals, for example, 1894233586 + ... + 1894233614.

Almost surely, 2^54932774400 is an apocalyptic number.

54932774400 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 54932774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120763484556).

54932774400 is an abundant number, since it is smaller than the sum of its proper divisors (186594194712).

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

54932774400 is an frugal number, since it uses more digits than its factorization.

54932774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 54932774400 in words is "fifty-four billion, nine hundred thirty-two million, seven hundred seventy-four thousand, four hundred".