51732172800 has 1404 divisors, whose sum is σ = 239888309856. Its totient is φ = 10749542400.

The previous prime is 51732172799. The next prime is 51732172801. The reversal of 51732172800 is 827123715.

It is a Jordan-Polya number, since it can be written as 11! ⋅ (3!)⁴.

51732172800 is a `hidden beast` number, since 51 + 7 + 321 + 7 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51732172799) and next prime (51732172801).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51732172801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4702924795 + ... + 4702924805.

Almost surely, 2^51732172800 is an apocalyptic number.

51732172800 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 51732172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119944154928).

51732172800 is an abundant number, since it is smaller than the sum of its proper divisors (188156137056).

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

51732172800 is an frugal number, since it uses more digits than its factorization.

51732172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 51732172800 in words is "fifty-one billion, seven hundred thirty-two million, one hundred seventy-two thousand, eight hundred".