1291198164480 has 800 divisors, whose sum is σ = 5334472946880. Its totient is φ = 292387553280.

The previous prime is 1291198164323. The next prime is 1291198164517. The reversal of 1291198164480 is 844618911921.

1291198164480 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 198 + 1 + 6 + 448 + 0 = 666.

It is a super-2 number, since 2×1291198164480² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 158211600 + ... + 158219760.

Almost surely, 2^{1291198164480} is an apocalyptic number.

1291198164480 is a gapful number since it is divisible by the number (10) 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 1291198164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667236473440).

1291198164480 is an abundant number, since it is smaller than the sum of its proper divisors (4043274782400).

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

1291198164480 is an equidigital number, since it uses as much as digits as its factorization.

1291198164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1291198164480 in words is "one trillion, two hundred ninety-one billion, one hundred ninety-eight million, one hundred sixty-four thousand, four hundred eighty".