51804748800 has 1320 divisors, whose sum is σ = 227031885696. Its totient is φ = 11426365440.

The previous prime is 51804748777. The next prime is 51804748847. The reversal of 51804748800 is 884740815.

51804748800 is a `hidden beast` number, since 51 + 80 + 47 + 488 + 0 + 0 = 666.

It is a super-3 number, since 3×51804748800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 624153559 + ... + 624153641.

Almost surely, 2^51804748800 is an apocalyptic number.

51804748800 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 51804748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113515942848).

51804748800 is an abundant number, since it is smaller than the sum of its proper divisors (175227136896).

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

51804748800 is a wasteful number, since it uses less digits than its factorization.

51804748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 51804748800 in words is "fifty-one billion, eight hundred four million, seven hundred forty-eight thousand, eight hundred".