51736872096 has 480 divisors, whose sum is σ = 191662466688. Its totient is φ = 13324953600.

The previous prime is 51736872091. The next prime is 51736872101. The reversal of 51736872096 is 69027863715.

51736872096 is a `hidden beast` number, since 517 + 36 + 8 + 7 + 2 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (51736872091) and next prime (51736872101).

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

It is not an unprimeable number, because it can be changed into a prime (51736872091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10139946 + ... + 10145046.

Almost surely, 2^51736872096 is an apocalyptic number.

51736872096 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 51736872096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95831233344).

51736872096 is an abundant number, since it is smaller than the sum of its proper divisors (139925594592).

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

51736872096 is a wasteful number, since it uses less digits than its factorization.

51736872096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 51736872096 in words is "fifty-one billion, seven hundred thirty-six million, eight hundred seventy-two thousand, ninety-six".