1015006666752 has 756 divisors, whose sum is σ = 3347576234730. Its totient is φ = 295850999808.

The previous prime is 1015006666727. The next prime is 1015006666753. The reversal of 1015006666752 is 2576666005101.

It can be written as a sum of positive squares in 9 ways, for example, as 58804310016 + 956202356736 = 242496^2 + 977856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1015006666698 and 1015006666707.

It is not an unprimeable number, because it can be changed into a prime (1015006666753) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19151069158 + ... + 19151069210.

Almost surely, 2^{1015006666752} is an apocalyptic number.

1015006666752 is a gapful number since it is divisible by the number (12) 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 1015006666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673788117365).

1015006666752 is an abundant number, since it is smaller than the sum of its proper divisors (2332569567978).

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

1015006666752 is an equidigital number, since it uses as much as digits as its factorization.

1015006666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1015006666752 in words is "one trillion, fifteen billion, six million, six hundred sixty-six thousand, seven hundred fifty-two".