51734592000 has 1920 divisors, whose sum is σ = 244514350080. Its totient is φ = 10683187200.

The previous prime is 51734591999. The next prime is 51734592011. The reversal of 51734592000 is 29543715.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1100735977 + ... + 1100736023.

It is an arithmetic number, because the mean of its divisors is an integer number (127351224).

Almost surely, 2^51734592000 is an apocalyptic number.

51734592000 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 51734592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122257175040).

51734592000 is an abundant number, since it is smaller than the sum of its proper divisors (192779758080).

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

51734592000 is a wasteful number, since it uses less digits than its factorization.

51734592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 51734592000 in words is "fifty-one billion, seven hundred thirty-four million, five hundred ninety-two thousand".