56120160096 has 1152 divisors, whose sum is σ = 235137530880. Its totient is φ = 12627394560.

The previous prime is 56120160091. The next prime is 56120160127. The reversal of 56120160096 is 69006102165.

56120160096 is a `hidden beast` number, since 561 + 2 + 0 + 1 + 6 + 0 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56120160096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56120160091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161729395 + ... + 161729741.

It is an arithmetic number, because the mean of its divisors is an integer number (204112440).

Almost surely, 2^56120160096 is an apocalyptic number.

56120160096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56120160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117568765440).

56120160096 is an abundant number, since it is smaller than the sum of its proper divisors (179017370784).

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

56120160096 is a wasteful number, since it uses less digits than its factorization.

56120160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 56120160096 in words is "fifty-six billion, one hundred twenty million, one hundred sixty thousand, ninety-six".