51723302400 has 1800 divisors, whose sum is σ = 249429341304. Its totient is φ = 10115481600.

The previous prime is 51723302363. The next prime is 51723302429. The reversal of 51723302400 is 420332715.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×51723302400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3042547192 + ... + 3042547208.

Almost surely, 2^51723302400 is an apocalyptic number.

51723302400 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 51723302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124714670652).

51723302400 is an abundant number, since it is smaller than the sum of its proper divisors (197706038904).

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

51723302400 is a wasteful number, since it uses less digits than its factorization.

51723302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 51723302400 in words is "fifty-one billion, seven hundred twenty-three million, three hundred two thousand, four hundred".