55979481600 has 1080 divisors, whose sum is σ = 239129212608. Its totient is φ = 12463718400.

The previous prime is 55979481583. The next prime is 55979481643. The reversal of 55979481600 is 618497955.

55979481600 is a `hidden beast` number, since 5 + 597 + 9 + 48 + 1 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 265305495 + ... + 265305705.

Almost surely, 2^55979481600 is an apocalyptic number.

55979481600 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 55979481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119564606304).

55979481600 is an abundant number, since it is smaller than the sum of its proper divisors (183149731008).

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

55979481600 is a wasteful number, since it uses less digits than its factorization.

55979481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 55979481600 in words is "fifty-five billion, nine hundred seventy-nine million, four hundred eighty-one thousand, six hundred".