56861311815 has 288 divisors, whose sum is σ = 131937361920. Its totient is φ = 22367923200.

The previous prime is 56861311769. The next prime is 56861311831. The reversal of 56861311815 is 51811316865.

It is a happy number.

56861311815 is a `hidden beast` number, since 5 + 6 + 8 + 613 + 1 + 18 + 15 = 666.

It is not a de Polignac number, because 56861311815 - 2⁶ = 56861311751 is a prime.

It is a super-3 number, since 3×56861311815³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35338731 + ... + 35340339.

It is an arithmetic number, because the mean of its divisors is an integer number (458115840).

Almost surely, 2^56861311815 is an apocalyptic number.

56861311815 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

56861311815 is an abundant number, since it is smaller than the sum of its proper divisors (75076050105).

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

56861311815 is a wasteful number, since it uses less digits than its factorization.

56861311815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1713 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 56861311815 in words is "fifty-six billion, eight hundred sixty-one million, three hundred eleven thousand, eight hundred fifteen".