1291053996288 has 216 divisors, whose sum is σ = 4266480673728. Its totient is φ = 367807942656.

The previous prime is 1291053996269. The next prime is 1291053996319. The reversal of 1291053996288 is 8826993501921.

1291053996288 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 0 + 539 + 96 + 2 + 8 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5481070 + ... + 5711762.

Almost surely, 2^{1291053996288} is an apocalyptic number.

1291053996288 is a gapful number since it is divisible by the number (18) 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 1291053996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133240336864).

1291053996288 is an abundant number, since it is smaller than the sum of its proper divisors (2975426677440).

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

1291053996288 is a wasteful number, since it uses less digits than its factorization.

1291053996288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231069 (or 231052 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 1291053996288 in words is "one trillion, two hundred ninety-one billion, fifty-three million, nine hundred ninety-six thousand, two hundred eighty-eight".