51516642060 has 192 divisors, whose sum is σ = 172730880000. Its totient is φ = 12671610624.

The previous prime is 51516642011. The next prime is 51516642061. The reversal of 51516642060 is 6024661515.

51516642060 is a `hidden beast` number, since 5 + 1 + 5 + 1 + 6 + 642 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×51516642060² (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 not an unprimeable number, because it can be changed into a prime (51516642061) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17176441 + ... + 17179439.

It is an arithmetic number, because the mean of its divisors is an integer number (899640000).

Almost surely, 2^51516642060 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 51516642060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86365440000).

51516642060 is an abundant number, since it is smaller than the sum of its proper divisors (121214237940).

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

51516642060 is a wasteful number, since it uses less digits than its factorization.

51516642060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 51516642060 in words is "fifty-one billion, five hundred sixteen million, six hundred forty-two thousand, sixty".