51116074632 has 192 divisors, whose sum is σ = 162066977280. Its totient is φ = 14251032576.

The previous prime is 51116074609. The next prime is 51116074637. The reversal of 51116074632 is 23647061115.

51116074632 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 607 + 46 + 3 + 2 = 666.

It is a super-2 number, since 2×51116074632² (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 (51116074637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8358808 + ... + 8364920.

It is an arithmetic number, because the mean of its divisors is an integer number (844098840).

Almost surely, 2^51116074632 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 51116074632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81033488640).

51116074632 is an abundant number, since it is smaller than the sum of its proper divisors (110950902648).

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

51116074632 is a wasteful number, since it uses less digits than its factorization.

51116074632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51116074632 in words is "fifty-one billion, one hundred sixteen million, seventy-four thousand, six hundred thirty-two".