51723100800 has 960 divisors, whose sum is σ = 225888220800. Its totient is φ = 11403141120.

The previous prime is 51723100783. The next prime is 51723100823. The reversal of 51723100800 is 800132715.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52617109 + ... + 52618091.

It is an arithmetic number, because the mean of its divisors is an integer number (235300230).

Almost surely, 2^51723100800 is an apocalyptic number.

51723100800 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 51723100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112944110400).

51723100800 is an abundant number, since it is smaller than the sum of its proper divisors (174165120000).

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

51723100800 is a wasteful number, since it uses less digits than its factorization.

51723100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 51723100800 in words is "fifty-one billion, seven hundred twenty-three million, one hundred thousand, eight hundred".