1290355159968 has 576 divisors, whose sum is σ = 4680908144640. Its totient is φ = 328241258496.

The previous prime is 1290355159943. The next prime is 1290355159981. The reversal of 1290355159968 is 8699515530921.

1290355159968 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 35 + 5 + 1 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×1290355159968² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 707818705 + ... + 707820527.

It is an arithmetic number, because the mean of its divisors is an integer number (8126576640).

Almost surely, 2^{1290355159968} is an apocalyptic number.

1290355159968 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 1290355159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340454072320).

1290355159968 is an abundant number, since it is smaller than the sum of its proper divisors (3390552984672).

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

1290355159968 is a wasteful number, since it uses less digits than its factorization.

1290355159968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 1290355159968 in words is "one trillion, two hundred ninety billion, three hundred fifty-five million, one hundred fifty-nine thousand, nine hundred sixty-eight".