56414143190520 has 512 divisors, whose sum is σ = 199566730368000. Its totient is φ = 14135581071360.

The previous prime is 56414143190437. The next prime is 56414143190521. The reversal of 56414143190520 is 2509134141465.

56414143190520 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 4 + 1 + 4 + 31 + 90 + 520 = 666.

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 (56414143190521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1494514287 + ... + 1494552033.

It is an arithmetic number, because the mean of its divisors is an integer number (389778770250).

Almost surely, 2^{56414143190520} 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 56414143190520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99783365184000).

56414143190520 is an abundant number, since it is smaller than the sum of its proper divisors (143152587177480).

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

56414143190520 is a wasteful number, since it uses less digits than its factorization.

56414143190520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38380 (or 38370 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56414143190520 in words is "fifty-six trillion, four hundred fourteen billion, one hundred forty-three million, one hundred ninety thousand, five hundred twenty".