51417939456 has 400 divisors, whose sum is σ = 166350488304. Its totient is φ = 15718219776.

The previous prime is 51417939437. The next prime is 51417939467. The reversal of 51417939456 is 65493971415.

51417939456 is a `hidden beast` number, since 5 + 1 + 417 + 93 + 94 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 152575320 + ... + 152575656.

Almost surely, 2^51417939456 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 51417939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83175244152).

51417939456 is an abundant number, since it is smaller than the sum of its proper divisors (114932548848).

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

51417939456 is a wasteful number, since it uses less digits than its factorization.

51417939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 638 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 51417939456 in words is "fifty-one billion, four hundred seventeen million, nine hundred thirty-nine thousand, four hundred fifty-six".