51418884996864 has 2160 divisors, whose sum is σ = 198193370338656. Its totient is φ = 13218911354880.

The previous prime is 51418884996841. The next prime is 51418884996883. The reversal of 51418884996864 is 46869948881415.

It is a happy number.

51418884996864 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 8 + 8 + 8 + 499 + 68 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 261009568414 + ... + 261009568610.

Almost surely, 2^{51418884996864} is an apocalyptic number.

51418884996864 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 51418884996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99096685169328).

51418884996864 is an abundant number, since it is smaller than the sum of its proper divisors (146774485341792).

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

51418884996864 is a wasteful number, since it uses less digits than its factorization.

51418884996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 413 counting only the distinct ones).

The product of its digits is 3822059520, while the sum is 81.

The spelling of 51418884996864 in words is "fifty-one trillion, four hundred eighteen billion, eight hundred eighty-four million, nine hundred ninety-six thousand, eight hundred sixty-four".