1077149793960 has 48 divisors (see below), whose sum is σ = 3500736831540. Its totient is φ = 287239944960.

The previous prime is 1077149793899. The next prime is 1077149793983. The reversal of 1077149793960 is 693979417701.

1077149793960 is a `hidden beast` number, since 10 + 7 + 71 + 497 + 9 + 3 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 915309331524 + 161840462436 = 956718^2 + 402294^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1496041021 + ... + 1496041740.

Almost surely, 2^{1077149793960} is an apocalyptic number.

1077149793960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077149793960 is an abundant number, since it is smaller than the sum of its proper divisors (2423587037580).

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

1077149793960 is a wasteful number, since it uses less digits than its factorization.

1077149793960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992082778 (or 2992082771 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 1077149793960 in words is "one trillion, seventy-seven billion, one hundred forty-nine million, seven hundred ninety-three thousand, nine hundred sixty".