51160040016540 has 768 divisors, whose sum is σ = 189544788357120. Its totient is φ = 10003603783680.

The previous prime is 51160040016517. The next prime is 51160040016587. The reversal of 51160040016540 is 4561004006115.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4343320371 + ... + 4343332149.

It is an arithmetic number, because the mean of its divisors is an integer number (246803109840).

Almost surely, 2^{51160040016540} 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 51160040016540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94772394178560).

51160040016540 is an abundant number, since it is smaller than the sum of its proper divisors (138384748340580).

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

51160040016540 is a wasteful number, since it uses less digits than its factorization.

51160040016540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12542 (or 12540 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 51160040016540 in words is "fifty-one trillion, one hundred sixty billion, forty million, sixteen thousand, five hundred forty".