56907390141504 has 896 divisors, whose sum is σ = 199157051520000. Its totient is φ = 15596439404544.

The previous prime is 56907390141463. The next prime is 56907390141533. The reversal of 56907390141504 is 40514109370965.

56907390141504 is a `hidden beast` number, since 5 + 6 + 9 + 0 + 7 + 3 + 90 + 1 + 41 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9135875862 + ... + 9135882090.

It is an arithmetic number, because the mean of its divisors is an integer number (222273495000).

Almost surely, 2^{56907390141504} is an apocalyptic number.

56907390141504 is a gapful number since it is divisible by the number (54) 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 56907390141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578525760000).

56907390141504 is an abundant number, since it is smaller than the sum of its proper divisors (142249661378496).

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

56907390141504 is a wasteful number, since it uses less digits than its factorization.

56907390141504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 56907390141504 in words is "fifty-six trillion, nine hundred seven billion, three hundred ninety million, one hundred forty-one thousand, five hundred four".