55638621360 has 560 divisors, whose sum is σ = 234726244416. Its totient is φ = 11967823872.

The previous prime is 55638621359. The next prime is 55638621371. The reversal of 55638621360 is 6312683655.

55638621360 is a `hidden beast` number, since 5 + 5 + 638 + 6 + 2 + 1 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6936072 + ... + 6944088.

Almost surely, 2^55638621360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55638621360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117363122208).

55638621360 is an abundant number, since it is smaller than the sum of its proper divisors (179087623056).

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

55638621360 is a wasteful number, since it uses less digits than its factorization.

55638621360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55638621360 in words is "fifty-five billion, six hundred thirty-eight million, six hundred twenty-one thousand, three hundred sixty".