1516051160 has 128 divisors (see below), whose sum is σ = 3919104000. Its totient is φ = 522854400.

The previous prime is 1516051153. The next prime is 1516051169. The reversal of 1516051160 is 611506151.

It is a super-2 number, since 2×1516051160² = 4596822239474691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1516051169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316585 + ... + 1317735.

It is an arithmetic number, because the mean of its divisors is an integer number (30618000).

Almost surely, 2^1516051160 is an apocalyptic number.

1516051160 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 1516051160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959552000).

1516051160 is an abundant number, since it is smaller than the sum of its proper divisors (2403052840).

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

1516051160 is a wasteful number, since it uses less digits than its factorization.

1516051160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 1516051160 is about 38936.5016404915. The cubic root of 1516051160 is about 1148.7828735941.

The spelling of 1516051160 in words is "one billion, five hundred sixteen million, fifty-one thousand, one hundred sixty".