55637632512000 has 6240 divisors, whose sum is σ = 279194541500160. Its totient is φ = 10868981760000.

The previous prime is 55637632511927. The next prime is 55637632512053. The reversal of 55637632512000 is 21523673655.

55637632512000 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 7 + 632 + 5 + 1 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 424714751935 + ... + 424714752065.

It is an arithmetic number, because the mean of its divisors is an integer number (44742714984).

Almost surely, 2^{55637632512000} is an apocalyptic number.

55637632512000 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 55637632512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139597270750080).

55637632512000 is an abundant number, since it is smaller than the sum of its proper divisors (223556908988160).

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

55637632512000 is a wasteful number, since it uses less digits than its factorization.

55637632512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 55637632512000 in words is "fifty-five trillion, six hundred thirty-seven billion, six hundred thirty-two million, five hundred twelve thousand".