1006115016360 has 64 divisors (see below), whose sum is σ = 3030370418880. Its totient is φ = 267228416000.

The previous prime is 1006115016359. The next prime is 1006115016397. The reversal of 1006115016360 is 636105116001.

It is a super-2 number, since 2×1006115016360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16671657 + ... + 16731896.

It is an arithmetic number, because the mean of its divisors is an integer number (47349537795).

Almost surely, 2^{1006115016360} is an apocalyptic number.

1006115016360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006115016360 is an abundant number, since it is smaller than the sum of its proper divisors (2024255402520).

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

1006115016360 is a wasteful number, since it uses less digits than its factorization.

1006115016360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33403818 (or 33403814 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 1006115016360 in words is "one trillion, six billion, one hundred fifteen million, sixteen thousand, three hundred sixty".