1080656040960 has 264 divisors, whose sum is σ = 3749487132456. Its totient is φ = 287786926080.

The previous prime is 1080656040941. The next prime is 1080656040979. The reversal of 1080656040960 is 690406560801.

1080656040960 is a `hidden beast` number, since 1 + 0 + 80 + 6 + 560 + 4 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1080656040941) and next prime (1080656040979).

It can be written as a sum of positive squares in 4 ways, for example, as 118247952384 + 962408088576 = 343872^2 + 981024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35051472 + ... + 35082288.

Almost surely, 2^{1080656040960} is an apocalyptic number.

1080656040960 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 1080656040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874743566228).

1080656040960 is an abundant number, since it is smaller than the sum of its proper divisors (2668831091496).

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

1080656040960 is a wasteful number, since it uses less digits than its factorization.

1080656040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31609 (or 31588 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1080656040960 in words is "one trillion, eighty billion, six hundred fifty-six million, forty thousand, nine hundred sixty".