56687338388500 has 48 divisors (see below), whose sum is σ = 128074290074640. Its totient is φ = 21893041027200.

The previous prime is 56687338388497. The next prime is 56687338388503. The reversal of 56687338388500 is 588383378665.

56687338388500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56687338388497) and next prime (56687338388503).

It can be written as a sum of positive squares in 8 ways, for example, as 29403159211024 + 27284179177476 = 5422468^2 + 5223426^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56687338388500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56687338388503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1954721307 + ... + 1954750306.

It is an arithmetic number, because the mean of its divisors is an integer number (2668214376555).

Almost surely, 2^{56687338388500} is an apocalyptic number.

56687338388500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56687338388500 is an abundant number, since it is smaller than the sum of its proper divisors (71386951686140).

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

56687338388500 is a wasteful number, since it uses less digits than its factorization.

56687338388500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909471661 (or 3909471649 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 70.

The spelling of 56687338388500 in words is "fifty-six trillion, six hundred eighty-seven billion, three hundred thirty-eight million, three hundred eighty-eight thousand, five hundred".