51121567632 has 80 divisors (see below), whose sum is σ = 134365685760. Its totient is φ = 16743811200.

The previous prime is 51121567613. The next prime is 51121567661. The reversal of 51121567632 is 23676512115.

It is a super-2 number, since 2×51121567632² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11640157 + ... + 11644547.

It is an arithmetic number, because the mean of its divisors is an integer number (1679571072).

Almost surely, 2^51121567632 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 51121567632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67182842880).

51121567632 is an abundant number, since it is smaller than the sum of its proper divisors (83244118128).

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

51121567632 is a wasteful number, since it uses less digits than its factorization.

51121567632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8566 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The spelling of 51121567632 in words is "fifty-one billion, one hundred twenty-one million, five hundred sixty-seven thousand, six hundred thirty-two".