55997192160 has 2304 divisors, whose sum is σ = 277385472000. Its totient is φ = 10534551552.

The previous prime is 55997192159. The next prime is 55997192191. The reversal of 55997192160 is 6129179955.

55997192160 is a `hidden beast` number, since 559 + 9 + 7 + 1 + 9 + 21 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55997192097 and 55997192106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2947220631 + ... + 2947220649.

It is an arithmetic number, because the mean of its divisors is an integer number (120393000).

Almost surely, 2^55997192160 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 55997192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736000).

55997192160 is an abundant number, since it is smaller than the sum of its proper divisors (221388279840).

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

55997192160 is a wasteful number, since it uses less digits than its factorization.

55997192160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 55997192160 in words is "fifty-five billion, nine hundred ninety-seven million, one hundred ninety-two thousand, one hundred sixty".