1516516000160 has 192 divisors, whose sum is σ = 4110624080640. Its totient is φ = 517916958720.

The previous prime is 1516516000127. The next prime is 1516516000171. The reversal of 1516516000160 is 610006156151.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340252652 + ... + 340257108.

It is an arithmetic number, because the mean of its divisors is an integer number (21409500420).

Almost surely, 2^{1516516000160} is an apocalyptic number.

1516516000160 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 1516516000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055312040320).

1516516000160 is an abundant number, since it is smaller than the sum of its proper divisors (2594108080480).

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

1516516000160 is a wasteful number, since it uses less digits than its factorization.

1516516000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 1516516000160 in words is "one trillion, five hundred sixteen billion, five hundred sixteen million, one hundred sixty", and thus it is an aban number.