51369787332864 has 2160 divisors, whose sum is σ = 208559425536000. Its totient is φ = 12211301007360.

The previous prime is 51369787332781. The next prime is 51369787332869. The reversal of 51369787332864 is 46823378796315.

51369787332864 is a `hidden beast` number, since 5 + 136 + 9 + 7 + 87 + 332 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51369787332792 and 51369787332801.

It is not an unprimeable number, because it can be changed into a prime (51369787332869) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34269370387 + ... + 34269371885.

It is an arithmetic number, because the mean of its divisors is an integer number (96555289600).

Almost surely, 2^{51369787332864} is an apocalyptic number.

51369787332864 is a gapful number since it is divisible by the number (54) 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 51369787332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104279712768000).

51369787332864 is an abundant number, since it is smaller than the sum of its proper divisors (157189638203136).

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

51369787332864 is a wasteful number, since it uses less digits than its factorization.

51369787332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1662 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 51369787332864 in words is "fifty-one trillion, three hundred sixty-nine billion, seven hundred eighty-seven million, three hundred thirty-two thousand, eight hundred sixty-four".