51886272816 has 320 divisors, whose sum is σ = 184953241600. Its totient is φ = 13590892800.

The previous prime is 51886272791. The next prime is 51886272829. The reversal of 51886272816 is 61827268815.

51886272816 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 627 + 2 + 8 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766571 + ... + 1795701.

It is an arithmetic number, because the mean of its divisors is an integer number (577978880).

Almost surely, 2^51886272816 is an apocalyptic number.

51886272816 is a gapful number since it is divisible by the number (56) 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 51886272816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92476620800).

51886272816 is an abundant number, since it is smaller than the sum of its proper divisors (133066968784).

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

51886272816 is a wasteful number, since it uses less digits than its factorization.

51886272816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29205 (or 29193 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 51886272816 in words is "fifty-one billion, eight hundred eighty-six million, two hundred seventy-two thousand, eight hundred sixteen".