51116135616 has 448 divisors, whose sum is σ = 186118195200. Its totient is φ = 13396119552.

The previous prime is 51116135593. The next prime is 51116135641. The reversal of 51116135616 is 61653161115.

51116135616 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 6 + 1 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×51116135616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27202965 + ... + 27204843.

It is an arithmetic number, because the mean of its divisors is an integer number (415442400).

Almost surely, 2^51116135616 is an apocalyptic number.

51116135616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51116135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93059097600).

51116135616 is an abundant number, since it is smaller than the sum of its proper divisors (135002059584).

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

51116135616 is a wasteful number, since it uses less digits than its factorization.

51116135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2077 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The spelling of 51116135616 in words is "fifty-one billion, one hundred sixteen million, one hundred thirty-five thousand, six hundred sixteen".