56142214167160 has 256 divisors, whose sum is σ = 142322248696320. Its totient is φ = 19754262528000.

The previous prime is 56142214167113. The next prime is 56142214167181. The reversal of 56142214167160 is 6176141224165.

It is a happy number.

It is a super-2 number, since 2×56142214167160² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56142214167160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4993520499 + ... + 4993531741.

It is an arithmetic number, because the mean of its divisors is an integer number (555946283970).

Almost surely, 2^{56142214167160} 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 56142214167160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71161124348160).

56142214167160 is an abundant number, since it is smaller than the sum of its proper divisors (86180034529160).

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

56142214167160 is a wasteful number, since it uses less digits than its factorization.

56142214167160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 56142214167160 in words is "fifty-six trillion, one hundred forty-two billion, two hundred fourteen million, one hundred sixty-seven thousand, one hundred sixty".