54936694800 has 900 divisors, whose sum is σ = 217901291520. Its totient is φ = 13246571520.

The previous prime is 54936694789. The next prime is 54936694843. The reversal of 54936694800 is 849663945.

54936694800 is a `hidden beast` number, since 5 + 493 + 66 + 94 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 432572337 + ... + 432572463.

Almost surely, 2^54936694800 is an apocalyptic number.

54936694800 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 54936694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108950645760).

54936694800 is an abundant number, since it is smaller than the sum of its proper divisors (162964596720).

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

54936694800 is a wasteful number, since it uses less digits than its factorization.

54936694800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 54936694800 in words is "fifty-four billion, nine hundred thirty-six million, six hundred ninety-four thousand, eight hundred".