1291160217600 has 2160 divisors, whose sum is σ = 5491384778880. Its totient is φ = 299261952000.

The previous prime is 1291160217559. The next prime is 1291160217619. The reversal of 1291160217600 is 67120611921.

1291160217600 is a `hidden beast` number, since 1 + 29 + 1 + 1 + 6 + 0 + 21 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15556147159 + ... + 15556147241.

It is an arithmetic number, because the mean of its divisors is an integer number (2542307768).

Almost surely, 2^{1291160217600} is an apocalyptic number.

1291160217600 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 1291160217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745692389440).

1291160217600 is an abundant number, since it is smaller than the sum of its proper divisors (4200224561280).

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

1291160217600 is a wasteful number, since it uses less digits than its factorization.

1291160217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 1291160217600 in words is "one trillion, two hundred ninety-one billion, one hundred sixty million, two hundred seventeen thousand, six hundred".