51034660416 has 280 divisors, whose sum is σ = 160918306560. Its totient is φ = 15937302528.

The previous prime is 51034660393. The next prime is 51034660427. The reversal of 51034660416 is 61406643015.

It is a happy number.

51034660416 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 46 + 604 + 1 + 6 = 666.

51034660416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21061381 + ... + 21063803.

Almost surely, 2^51034660416 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 51034660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80459153280).

51034660416 is an abundant number, since it is smaller than the sum of its proper divisors (109883646144).

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

51034660416 is a wasteful number, since it uses less digits than its factorization.

51034660416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 51034660416 in words is "fifty-one billion, thirty-four million, six hundred sixty thousand, four hundred sixteen".