51629984160 has 384 divisors, whose sum is σ = 176161112064. Its totient is φ = 12673351680.

The previous prime is 51629984141. The next prime is 51629984171. The reversal of 51629984160 is 6148992615.

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, 87955387 + ... + 87955973.

It is an arithmetic number, because the mean of its divisors is an integer number (458752896).

Almost surely, 2^51629984160 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 51629984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88080556032).

51629984160 is an abundant number, since it is smaller than the sum of its proper divisors (124531127904).

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

51629984160 is a wasteful number, since it uses less digits than its factorization.

51629984160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 51629984160 in words is "fifty-one billion, six hundred twenty-nine million, nine hundred eighty-four thousand, one hundred sixty".