51997881600 has 648 divisors, whose sum is σ = 219837596160. Its totient is φ = 11472814080.

The previous prime is 51997881539. The next prime is 51997881601. The reversal of 51997881600 is 618879915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51997881601) 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 71 ways as a sum of consecutive naturals, for example, 11690577 + ... + 11695023.

Almost surely, 2^51997881600 is an apocalyptic number.

51997881600 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 51997881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109918798080).

51997881600 is an abundant number, since it is smaller than the sum of its proper divisors (167839714560).

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

51997881600 is a wasteful number, since it uses less digits than its factorization.

51997881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 51997881600 in words is "fifty-one billion, nine hundred ninety-seven million, eight hundred eighty-one thousand, six hundred".