1516157568 has 128 divisors (see below), whose sum is σ = 4492488000. Its totient is φ = 503387136.

The previous prime is 1516157567. The next prime is 1516157593. The reversal of 1516157568 is 8657516151.

It is a happy number.

1516157568 is a `hidden beast` number, since 1 + 5 + 16 + 1 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1516157567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060278 + ... + 1061706.

Almost surely, 2^1516157568 is an apocalyptic number.

1516157568 is a gapful number since it is divisible by the number (18) 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 1516157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246244000).

1516157568 is an abundant number, since it is smaller than the sum of its proper divisors (2976330432).

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

1516157568 is a wasteful number, since it uses less digits than its factorization.

1516157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1741 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 1516157568 is about 38937.8680464147. The cubic root of 1516157568 is about 1148.8097497381.

The spelling of 1516157568 in words is "one billion, five hundred sixteen million, one hundred fifty-seven thousand, five hundred sixty-eight".