55601316288 has 672 divisors, whose sum is σ = 201576480768. Its totient is φ = 14288486400.

The previous prime is 55601316247. The next prime is 55601316307. The reversal of 55601316288 is 88261310655.

55601316288 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 13 + 1 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291106273 + ... + 291106463.

Almost surely, 2^55601316288 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 55601316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100788240384).

55601316288 is an abundant number, since it is smaller than the sum of its proper divisors (145975164480).

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

55601316288 is a wasteful number, since it uses less digits than its factorization.

55601316288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 55601316288 in words is "fifty-five billion, six hundred one million, three hundred sixteen thousand, two hundred eighty-eight".