51186800222100 has 108 divisors (see below), whose sum is σ = 160455891450400. Its totient is φ = 13648647009600.

The previous prime is 51186800222057. The next prime is 51186800222141. The reversal of 51186800222100 is 122200868115.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8133801 + ... + 12981999.

Almost surely, 2^{51186800222100} is an apocalyptic number.

51186800222100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51186800222100 is an abundant number, since it is smaller than the sum of its proper divisors (109269091228300).

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

51186800222100 is a wasteful number, since it uses less digits than its factorization.

51186800222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859950 (or 4859940 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

It can be divided in two parts, 51186800 and 222100, that added together give a square (51408900 = 7170²).

The spelling of 51186800222100 in words is "fifty-one trillion, one hundred eighty-six billion, eight hundred million, two hundred twenty-two thousand, one hundred".