1505516116008 has 32 divisors (see below), whose sum is σ = 3763858592160. Its totient is φ = 501829598400.

The previous prime is 1505516116007. The next prime is 1505516116033. The reversal of 1505516116008 is 8006116155051.

It is not an unprimeable number, because it can be changed into a prime (1505516116001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853458 + ... + 1933758.

It is an arithmetic number, because the mean of its divisors is an integer number (117620581005).

Almost surely, 2^{1505516116008} is an apocalyptic number.

It is an amenable number.

1505516116008 is an abundant number, since it is smaller than the sum of its proper divisors (2258342476152).

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

1505516116008 is a wasteful number, since it uses less digits than its factorization.

1505516116008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138377 (or 1138373 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 39.

The spelling of 1505516116008 in words is "one trillion, five hundred five billion, five hundred sixteen million, one hundred sixteen thousand, eight".