51003705456 has 960 divisors, whose sum is σ = 184263206400. Its totient is φ = 13470105600.

The previous prime is 51003705449. The next prime is 51003705461. The reversal of 51003705456 is 65450730015.

51003705456 is a `hidden beast` number, since 5 + 100 + 3 + 7 + 0 + 545 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51003705456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 864469555 + ... + 864469613.

It is an arithmetic number, because the mean of its divisors is an integer number (191940840).

Almost surely, 2^51003705456 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 51003705456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131603200).

51003705456 is an abundant number, since it is smaller than the sum of its proper divisors (133259500944).

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

51003705456 is a wasteful number, since it uses less digits than its factorization.

51003705456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 51003705456 in words is "fifty-one billion, three million, seven hundred five thousand, four hundred fifty-six".