51417537345264 has 320 divisors, whose sum is σ = 146532143628288. Its totient is φ = 15482449382400.

The previous prime is 51417537345217. The next prime is 51417537345281. The reversal of 51417537345264 is 46254373571415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1723266154 + ... + 1723295990.

Almost surely, 2^{51417537345264} 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 51417537345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73266071814144).

51417537345264 is an abundant number, since it is smaller than the sum of its proper divisors (95114606283024).

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

51417537345264 is a wasteful number, since it uses less digits than its factorization.

51417537345264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31116 (or 31110 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 57.

The spelling of 51417537345264 in words is "fifty-one trillion, four hundred seventeen billion, five hundred thirty-seven million, three hundred forty-five thousand, two hundred sixty-four".