51319756800 has 648 divisors, whose sum is σ = 199321422300. Its totient is φ = 12613386240.

The previous prime is 51319756799. The next prime is 51319756801. The reversal of 51319756800 is 865791315.

It is a happy number.

51319756800 is a `hidden beast` number, since 51 + 31 + 9 + 7 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51319756799) and next prime (51319756801).

It is a super-2 number, since 2×51319756800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51319756801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 77874871 + ... + 77875529.

Almost surely, 2^51319756800 is an apocalyptic number.

51319756800 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 51319756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99660711150).

51319756800 is an abundant number, since it is smaller than the sum of its proper divisors (148001665500).

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

51319756800 is a wasteful number, since it uses less digits than its factorization.

51319756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 51319756800 in words is "fifty-one billion, three hundred nineteen million, seven hundred fifty-six thousand, eight hundred".