1291054476096 has 896 divisors, whose sum is σ = 4996340121600. Its totient is φ = 316715857920.

The previous prime is 1291054476071. The next prime is 1291054476193. The reversal of 1291054476096 is 6906744501921.

1291054476096 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 0 + 544 + 7 + 6 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1170493081 + ... + 1170494183.

Almost surely, 2^{1291054476096} is an apocalyptic number.

1291054476096 is a gapful number since it is divisible by the number (16) 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 1291054476096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498170060800).

1291054476096 is an abundant number, since it is smaller than the sum of its proper divisors (3705285645504).

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

1291054476096 is a wasteful number, since it uses less digits than its factorization.

1291054476096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1291054476096 in words is "one trillion, two hundred ninety-one billion, fifty-four million, four hundred seventy-six thousand, ninety-six".