51636935343816 has 192 divisors, whose sum is σ = 150417594163200. Its totient is φ = 16578128347200.

The previous prime is 51636935343787. The next prime is 51636935343821. The reversal of 51636935343816 is 61834353963615.

51636935343816 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 6 + 93 + 534 + 3 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×51636935343816² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10685265 + ... + 14746143.

It is an arithmetic number, because the mean of its divisors is an integer number (783424969600).

Almost surely, 2^{51636935343816} 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 51636935343816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75208797081600).

51636935343816 is an abundant number, since it is smaller than the sum of its proper divisors (98780658819384).

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

51636935343816 is a wasteful number, since it uses less digits than its factorization.

51636935343816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061142 (or 4061126 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 63.

The spelling of 51636935343816 in words is "fifty-one trillion, six hundred thirty-six billion, nine hundred thirty-five million, three hundred forty-three thousand, eight hundred sixteen".