1015006649160 has 256 divisors, whose sum is σ = 3712864573440. Its totient is φ = 216687144960.

The previous prime is 1015006649117. The next prime is 1015006649201. The reversal of 1015006649160 is 619466005101.

It is a super-2 number, since 2×1015006649160² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599387 + ... + 2141973.

It is an arithmetic number, because the mean of its divisors is an integer number (14503377240).

Almost surely, 2^{1015006649160} is an apocalyptic number.

1015006649160 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 1015006649160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856432286720).

1015006649160 is an abundant number, since it is smaller than the sum of its proper divisors (2697857924280).

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

1015006649160 is a wasteful number, since it uses less digits than its factorization.

1015006649160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542756 (or 542752 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 1015006649160 in words is "one trillion, fifteen billion, six million, six hundred forty-nine thousand, one hundred sixty".