51586107809040 has 2560 divisors, whose sum is σ = 223972864819200. Its totient is φ = 10659962880000.

The previous prime is 51586107809039. The next prime is 51586107809051. The reversal of 51586107809040 is 4090870168515.

It is a happy number.

51586107809040 is a `hidden beast` number, since 5 + 1 + 586 + 10 + 7 + 8 + 0 + 9 + 0 + 40 = 666.

51586107809040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51586107809040² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 84153519774 + ... + 84153520386.

It is an arithmetic number, because the mean of its divisors is an integer number (87489400320).

Almost surely, 2^{51586107809040} 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 51586107809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111986432409600).

51586107809040 is an abundant number, since it is smaller than the sum of its proper divisors (172386757010160).

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

51586107809040 is a wasteful number, since it uses less digits than its factorization.

51586107809040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 51586107809040 in words is "fifty-one trillion, five hundred eighty-six billion, one hundred seven million, eight hundred nine thousand, forty".