51401089106900 has 72 divisors (see below), whose sum is σ = 120137594701824. Its totient is φ = 18976145558400.

The previous prime is 51401089106881. The next prime is 51401089107019. The reversal of 51401089106900 is 960198010415.

It is a super-2 number, since 2×51401089106900² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6260429 + ... + 11916171.

It is an arithmetic number, because the mean of its divisors is an integer number (1668577704192).

Almost surely, 2^{51401089106900} is an apocalyptic number.

51401089106900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51401089106900 is an abundant number, since it is smaller than the sum of its proper divisors (68736505594924).

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

51401089106900 is a wasteful number, since it uses less digits than its factorization.

51401089106900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662761 (or 5662754 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 44.

The spelling of 51401089106900 in words is "fifty-one trillion, four hundred one billion, eighty-nine million, one hundred six thousand, nine hundred".