54940672800 has 216 divisors, whose sum is σ = 208637560404. Its totient is φ = 13523834880.

The previous prime is 54940672781. The next prime is 54940672903. The reversal of 54940672800 is 827604945.

It is a happy number.

54940672800 is a `hidden beast` number, since 549 + 40 + 67 + 2 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22059378576 + 32881294224 = 148524^2 + 181332^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199887 + ... + 387086.

Almost surely, 2^54940672800 is an apocalyptic number.

54940672800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54940672800 is an abundant number, since it is smaller than the sum of its proper divisors (153696887604).

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

54940672800 is a wasteful number, since it uses less digits than its factorization.

54940672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587012 (or 586996 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 54940672800 in words is "fifty-four billion, nine hundred forty million, six hundred seventy-two thousand, eight hundred".