1516331138860 has 96 divisors (see below), whose sum is σ = 3342533040000. Its totient is φ = 576711303168.

The previous prime is 1516331138857. The next prime is 1516331138887. The reversal of 1516331138860 is 688311336151.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1516331138860.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113177682 + ... + 113191078.

It is an arithmetic number, because the mean of its divisors is an integer number (34818052500).

Almost surely, 2^{1516331138860} is an apocalyptic number.

1516331138860 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 1516331138860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671266520000).

1516331138860 is an abundant number, since it is smaller than the sum of its proper divisors (1826201901140).

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

1516331138860 is a wasteful number, since it uses less digits than its factorization.

1516331138860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14875 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 1516331138860 in words is "one trillion, five hundred sixteen billion, three hundred thirty-one million, one hundred thirty-eight thousand, eight hundred sixty".