51586393135680 has 672 divisors, whose sum is σ = 193144279281408. Its totient is φ = 12561537024000.

The previous prime is 51586393135643. The next prime is 51586393135681. The reversal of 51586393135680 is 8653139368515.

51586393135680 is a `hidden beast` number, since 5 + 1 + 5 + 8 + 6 + 39 + 31 + 3 + 568 + 0 = 666.

It is a super-2 number, since 2×51586393135680² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51586393135681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4881833757 + ... + 4881844323.

It is an arithmetic number, because the mean of its divisors is an integer number (287417082264).

Almost surely, 2^{51586393135680} 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 51586393135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96572139640704).

51586393135680 is an abundant number, since it is smaller than the sum of its proper divisors (141557886145728).

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

51586393135680 is a wasteful number, since it uses less digits than its factorization.

51586393135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 51586393135680 in words is "fifty-one trillion, five hundred eighty-six billion, three hundred ninety-three million, one hundred thirty-five thousand, six hundred eighty".