1159641161280 has 448 divisors, whose sum is σ = 4739442977280. Its totient is φ = 261428871168.

The previous prime is 1159641161249. The next prime is 1159641161309. The reversal of 1159641161280 is 821611469511.

1159641161280 is a `hidden beast` number, since 1 + 1 + 596 + 41 + 1 + 6 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4283712 + ... + 4546368.

Almost surely, 2^{1159641161280} is an apocalyptic number.

1159641161280 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 1159641161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369721488640).

1159641161280 is an abundant number, since it is smaller than the sum of its proper divisors (3579801816000).

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

1159641161280 is a wasteful number, since it uses less digits than its factorization.

1159641161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262763 (or 262747 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1159641161280 in words is "one trillion, one hundred fifty-nine billion, six hundred forty-one million, one hundred sixty-one thousand, two hundred eighty".