51938975196900 has 243 divisors, whose sum is σ = 178953464380873. Its totient is φ = 12590690164800.

The previous prime is 51938975196883. The next prime is 51938975197001. The reversal of 51938975196900 is 969157983915.

The square root of 51938975196900 is 7206870.

It is a perfect power (a square), and thus also a powerful number.

51938975196900 is a `hidden beast` number, since 5 + 1 + 9 + 389 + 75 + 1 + 96 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18698031070884 + 33240944126016 = 4324122^2 + 5765496^2 .

It is a super-2 number, since 2×51938975196900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2378256181 + ... + 2378278019.

Almost surely, 2^{51938975196900} is an apocalyptic number.

51938975196900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51938975196900 is the 7206870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51938975196900

51938975196900 is an abundant number, since it is smaller than the sum of its proper divisors (127014489183973).

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

51938975196900 is a wasteful number, since it uses less digits than its factorization.

51938975196900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43720 (or 21860 counting only the distinct ones).

The product of its (nonzero) digits is 165337200, while the sum is 72.

The spelling of 51938975196900 in words is "fifty-one trillion, nine hundred thirty-eight billion, nine hundred seventy-five million, one hundred ninety-six thousand, nine hundred".