56153180160 has 1152 divisors, whose sum is σ = 249845057280. Its totient is φ = 11324620800.

The previous prime is 56153180101. The next prime is 56153180183. The reversal of 56153180160 is 6108135165.

56153180160 is a `hidden beast` number, since 5 + 61 + 531 + 8 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 290949024 + ... + 290949216.

It is an arithmetic number, because the mean of its divisors is an integer number (216879390).

Almost surely, 2^56153180160 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 56153180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124922528640).

56153180160 is an abundant number, since it is smaller than the sum of its proper divisors (193691877120).

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

56153180160 is a wasteful number, since it uses less digits than its factorization.

56153180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 56153180160 in words is "fifty-six billion, one hundred fifty-three million, one hundred eighty thousand, one hundred sixty".