51907769863488 has 2688 divisors, whose sum is σ = 217761799680000. Its totient is φ = 11945010954240.

The previous prime is 51907769863459. The next prime is 51907769863519. The reversal of 51907769863488 is 88436896770915.

51907769863488 is a `hidden beast` number, since 5 + 1 + 9 + 0 + 7 + 76 + 9 + 8 + 63 + 488 = 666.

51907769863488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51907769863488² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 330622737906 + ... + 330622738062.

Almost surely, 2^{51907769863488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51907769863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108880899840000).

51907769863488 is an abundant number, since it is smaller than the sum of its proper divisors (165854029816512).

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

51907769863488 is a wasteful number, since it uses less digits than its factorization.

51907769863488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 51907769863488 in words is "fifty-one trillion, nine hundred seven billion, seven hundred sixty-nine million, eight hundred sixty-three thousand, four hundred eighty-eight".