1015968611680 has 192 divisors, whose sum is σ = 2676939632640. Its totient is φ = 361204070400.

The previous prime is 1015968611677. The next prime is 1015968611729. The reversal of 1015968611680 is 861168695101.

1015968611680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85940170 + ... + 85951990.

It is an arithmetic number, because the mean of its divisors is an integer number (13942393920).

Almost surely, 2^{1015968611680} is an apocalyptic number.

1015968611680 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 1015968611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338469816320).

1015968611680 is an abundant number, since it is smaller than the sum of its proper divisors (1660971020960).

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

1015968611680 is a wasteful number, since it uses less digits than its factorization.

1015968611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12933 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 52.

The spelling of 1015968611680 in words is "one trillion, fifteen billion, nine hundred sixty-eight million, six hundred eleven thousand, six hundred eighty".