54475772400 has 1200 divisors, whose sum is σ = 241120281600. Its totient is φ = 11496038400.

The previous prime is 54475772359. The next prime is 54475772489. The reversal of 54475772400 is 427757445.

54475772400 is a `hidden beast` number, since 54 + 4 + 7 + 577 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 273747501 + ... + 273747699.

It is an arithmetic number, because the mean of its divisors is an integer number (200933568).

Almost surely, 2^54475772400 is an apocalyptic number.

54475772400 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 54475772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120560140800).

54475772400 is an abundant number, since it is smaller than the sum of its proper divisors (186644509200).

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

54475772400 is a wasteful number, since it uses less digits than its factorization.

54475772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 54475772400 in words is "fifty-four billion, four hundred seventy-five million, seven hundred seventy-two thousand, four hundred".