54881971200 has 1320 divisors, whose sum is σ = 245705504000. Its totient is φ = 11824496640.

The previous prime is 54881971187. The next prime is 54881971217. The reversal of 54881971200 is 217918845.

54881971200 is a `hidden beast` number, since 548 + 8 + 1 + 97 + 12 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 275788701 + ... + 275788899.

Almost surely, 2^54881971200 is an apocalyptic number.

54881971200 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 54881971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122852752000).

54881971200 is an abundant number, since it is smaller than the sum of its proper divisors (190823532800).

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

54881971200 is a wasteful number, since it uses less digits than its factorization.

54881971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 54881971200 in words is "fifty-four billion, eight hundred eighty-one million, nine hundred seventy-one thousand, two hundred".