55656138096 has 400 divisors, whose sum is σ = 177011670528. Its totient is φ = 16780608000.

The previous prime is 55656138079. The next prime is 55656138149. The reversal of 55656138096 is 69083165655.

It is a happy number.

55656138096 is a `hidden beast` number, since 556 + 5 + 6 + 1 + 3 + 80 + 9 + 6 = 666.

It is a super-2 number, since 2×55656138096² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 333270205 + ... + 333270371.

Almost surely, 2^55656138096 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 55656138096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88505835264).

55656138096 is an abundant number, since it is smaller than the sum of its proper divisors (121355532432).

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

55656138096 is a wasteful number, since it uses less digits than its factorization.

55656138096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 55656138096 in words is "fifty-five billion, six hundred fifty-six million, one hundred thirty-eight thousand, ninety-six".