55837656000 has 1680 divisors, whose sum is σ = 259709168160. Its totient is φ = 11379916800.

The previous prime is 55837655963. The next prime is 55837656001. The reversal of 55837656000 is 65673855.

55837656000 is a `hidden beast` number, since 5 + 5 + 8 + 37 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55837656001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2938823991 + ... + 2938824009.

Almost surely, 2^55837656000 is an apocalyptic number.

55837656000 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 55837656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129854584080).

55837656000 is an abundant number, since it is smaller than the sum of its proper divisors (203871512160).

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

55837656000 is a wasteful number, since it uses less digits than its factorization.

55837656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55837656000 in words is "fifty-five billion, eight hundred thirty-seven million, six hundred fifty-six thousand".