1291874557680 has 320 divisors, whose sum is σ = 5384621076480. Its totient is φ = 277915815936.

The previous prime is 1291874557661. The next prime is 1291874557693. The reversal of 1291874557680 is 867554781921.

1291874557680 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 8 + 74 + 557 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2255944 + ... + 2770023.

It is an arithmetic number, because the mean of its divisors is an integer number (16826940864).

Almost surely, 2^{1291874557680} is an apocalyptic number.

1291874557680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1291874557680 is an abundant number, since it is smaller than the sum of its proper divisors (4092746518800).

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

1291874557680 is a wasteful number, since it uses less digits than its factorization.

1291874557680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026013 (or 5026001 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 1291874557680 in words is "one trillion, two hundred ninety-one billion, eight hundred seventy-four million, five hundred fifty-seven thousand, six hundred eighty".