56046140168130 has 128 divisors (see below), whose sum is σ = 170882180098560. Its totient is φ = 12804929141760.

The previous prime is 56046140168101. The next prime is 56046140168147. The reversal of 56046140168130 is 3186104164065.

56046140168130 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 614 + 0 + 16 + 8 + 13 + 0 = 666.

It is a super-3 number, since 3×56046140168130³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2189139 + ... + 10811318.

It is an arithmetic number, because the mean of its divisors is an integer number (1335017032020).

Almost surely, 2^{56046140168130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56046140168130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85441090049280).

56046140168130 is an abundant number, since it is smaller than the sum of its proper divisors (114836039930430).

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

56046140168130 is a wasteful number, since it uses less digits than its factorization.

56046140168130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13002761 (or 13002755 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56046140168130 in words is "fifty-six trillion, forty-six billion, one hundred forty million, one hundred sixty-eight thousand, one hundred thirty".