54804772800 has 672 divisors, whose sum is σ = 206820373760. Its totient is φ = 14108774400.

The previous prime is 54804772793. The next prime is 54804772811. The reversal of 54804772800 is 827740845.

54804772800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 302788710 + ... + 302788890.

Almost surely, 2^54804772800 is an apocalyptic number.

54804772800 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 54804772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103410186880).

54804772800 is an abundant number, since it is smaller than the sum of its proper divisors (152015600960).

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

54804772800 is a wasteful number, since it uses less digits than its factorization.

54804772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 54804772800 in words is "fifty-four billion, eight hundred four million, seven hundred seventy-two thousand, eight hundred".