56076142510080 has 3456 divisors, whose sum is σ = 267115076766720. Its totient is φ = 10925994147840.

The previous prime is 56076142510057. The next prime is 56076142510081. The reversal of 56076142510080 is 8001524167065.

56076142510080 is a `hidden beast` number, since 5 + 6 + 0 + 7 + 614 + 25 + 1 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56076142510081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208461496186 + ... + 208461496454.

It is an arithmetic number, because the mean of its divisors is an integer number (77290242120).

Almost surely, 2^{56076142510080} 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 56076142510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133557538383360).

56076142510080 is an abundant number, since it is smaller than the sum of its proper divisors (211038934256640).

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

56076142510080 is an equidigital number, since it uses as much as digits as its factorization.

56076142510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 56076142510080 in words is "fifty-six trillion, seventy-six billion, one hundred forty-two million, five hundred ten thousand, eighty".