1513468986960 has 160 divisors (see below), whose sum is σ = 5367211333632. Its totient is φ = 345599838720.

The previous prime is 1513468986947. The next prime is 1513468986961. The reversal of 1513468986960 is 696898643151.

It is a junction number, because it is equal to n+sod(n) for n = 1513468986891 and 1513468986900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513468986961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295187 + ... + 2168973.

Almost surely, 2^{1513468986960} is an apocalyptic number.

1513468986960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513468986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683605666816).

1513468986960 is an abundant number, since it is smaller than the sum of its proper divisors (3853742346672).

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

1513468986960 is a wasteful number, since it uses less digits than its factorization.

1513468986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874841 (or 874835 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 1513468986960 in words is "one trillion, five hundred thirteen billion, four hundred sixty-eight million, nine hundred eighty-six thousand, nine hundred sixty".