1516316120264 has 128 divisors (see below), whose sum is σ = 3222107527680. Its totient is φ = 668575452160.

The previous prime is 1516316120141. The next prime is 1516316120279. The reversal of 1516316120264 is 4620216136151.

It is a super-2 number, since 2×1516316120264² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56538122 + ... + 56564934.

It is an arithmetic number, because the mean of its divisors is an integer number (25172715060).

Almost surely, 2^{1516316120264} 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 1516316120264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611053763840).

1516316120264 is an abundant number, since it is smaller than the sum of its proper divisors (1705791407416).

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

1516316120264 is a wasteful number, since it uses less digits than its factorization.

1516316120264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 26986 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 1516316120264 in words is "one trillion, five hundred sixteen billion, three hundred sixteen million, one hundred twenty thousand, two hundred sixty-four".