1292561788464 has 200 divisors, whose sum is σ = 3800906004720. Its totient is φ = 423973896192.

The previous prime is 1292561788459. The next prime is 1292561788489. The reversal of 1292561788464 is 4648871652921.

It is a happy number.

1292561788464 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 5 + 617 + 8 + 8 + 4 + 6 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 87606112 + ... + 87620864.

Almost surely, 2^{1292561788464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292561788464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900453002360).

1292561788464 is an abundant number, since it is smaller than the sum of its proper divisors (2508344216256).

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

1292561788464 is a wasteful number, since it uses less digits than its factorization.

1292561788464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15849 (or 15834 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 1292561788464 in words is "one trillion, two hundred ninety-two billion, five hundred sixty-one million, seven hundred eighty-eight thousand, four hundred sixty-four".