51391405388100 has 288 divisors, whose sum is σ = 160206396134400. Its totient is φ = 12680592422400.

The previous prime is 51391405388077. The next prime is 51391405388131. The reversal of 51391405388100 is 188350419315.

It is a super-2 number, since 2×51391405388100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51391405388100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42709506 + ... + 43896294.

It is an arithmetic number, because the mean of its divisors is an integer number (556272208800).

Almost surely, 2^{51391405388100} is an apocalyptic number.

51391405388100 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 51391405388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80103198067200).

51391405388100 is an abundant number, since it is smaller than the sum of its proper divisors (108814990746300).

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

51391405388100 is a wasteful number, since it uses less digits than its factorization.

51391405388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187003 (or 1186996 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 51391405388100 in words is "fifty-one trillion, three hundred ninety-one billion, four hundred five million, three hundred eighty-eight thousand, one hundred".