1180564519680 has 2304 divisors, whose sum is σ = 5670088704000. Its totient is φ = 225453735936.

The previous prime is 1180564519679. The next prime is 1180564519681. The reversal of 1180564519680 is 869154650811.

1180564519680 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 5 + 64 + 519 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1180564519679) and next prime (1180564519681).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1180564519681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1374347091 + ... + 1374347949.

It is an arithmetic number, because the mean of its divisors is an integer number (2460976000).

Almost surely, 2^{1180564519680} is an apocalyptic number.

1180564519680 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 1180564519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835044352000).

1180564519680 is an abundant number, since it is smaller than the sum of its proper divisors (4489524184320).

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

1180564519680 is a wasteful number, since it uses less digits than its factorization.

1180564519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1180564519680 in words is "one trillion, one hundred eighty billion, five hundred sixty-four million, five hundred nineteen thousand, six hundred eighty".