1077944002560 has 144 divisors (see below), whose sum is σ = 3735960539220. Its totient is φ = 287451709440.

The previous prime is 1077944002523. The next prime is 1077944002561. The reversal of 1077944002560 is 652004497701.

1077944002560 is a `hidden beast` number, since 10 + 7 + 79 + 4 + 4 + 0 + 0 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1071175320576 + 6768681984 = 1034976^2 + 82272^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1077944002561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5756061 + ... + 5940380.

Almost surely, 2^{1077944002560} is an apocalyptic number.

1077944002560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077944002560 is an abundant number, since it is smaller than the sum of its proper divisors (2658016536660).

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

1077944002560 is a wasteful number, since it uses less digits than its factorization.

1077944002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696474 (or 11696451 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1077944002560 in words is "one trillion, seventy-seven billion, nine hundred forty-four million, two thousand, five hundred sixty".