51632372400 has 240 divisors, whose sum is σ = 195122178048. Its totient is φ = 11420928000.

The previous prime is 51632372381. The next prime is 51632372419. The reversal of 51632372400 is 427323615.

It is an interprime number because it is at equal distance from previous prime (51632372381) and next prime (51632372419).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161260 + ... + 359540.

Almost surely, 2^51632372400 is an apocalyptic number.

51632372400 is a gapful number since it is divisible by the number (50) 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 51632372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97561089024).

51632372400 is an abundant number, since it is smaller than the sum of its proper divisors (143489805648).

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

51632372400 is a wasteful number, since it uses less digits than its factorization.

51632372400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198340 (or 198329 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 51632372400 in words is "fifty-one billion, six hundred thirty-two million, three hundred seventy-two thousand, four hundred".