51937808400 has 270 divisors, whose sum is σ = 191468392622. Its totient is φ = 13035110400.

The previous prime is 51937808381. The next prime is 51937808407. The reversal of 51937808400 is 480873915.

It can be written as a sum of positive squares in 9 ways, for example, as 24920064 + 51912888336 = 4992^2 + 227844^2 .

It is a super-2 number, since 2×51937808400² (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 not an unprimeable number, because it can be changed into a prime (51937808407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1015440 + ... + 1065360.

Almost surely, 2^51937808400 is an apocalyptic number.

51937808400 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 51937808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95734196311).

51937808400 is an abundant number, since it is smaller than the sum of its proper divisors (139530584222).

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

51937808400 is a wasteful number, since it uses less digits than its factorization.

51937808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49979 (or 49948 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 51937808400 in words is "fifty-one billion, nine hundred thirty-seven million, eight hundred eight thousand, four hundred".