51370534800 has 960 divisors, whose sum is σ = 206102364160. Its totient is φ = 12070840320.

The previous prime is 51370534751. The next prime is 51370534807. The reversal of 51370534800 is 843507315.

51370534800 is a `hidden beast` number, since 51 + 3 + 70 + 534 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×51370534800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51370534807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 404492337 + ... + 404492463.

Almost surely, 2^51370534800 is an apocalyptic number.

51370534800 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 51370534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103051182080).

51370534800 is an abundant number, since it is smaller than the sum of its proper divisors (154731829360).

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

51370534800 is a wasteful number, since it uses less digits than its factorization.

51370534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51370534800 in words is "fifty-one billion, three hundred seventy million, five hundred thirty-four thousand, eight hundred".