1179580086720 has 1568 divisors, whose sum is σ = 5002632949248. Its totient is φ = 259225214976.

The previous prime is 1179580086701. The next prime is 1179580086749. The reversal of 1179580086720 is 276800859711.

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 223 ways as a sum of consecutive naturals, for example, 7513248882 + ... + 7513249038.

Almost surely, 2^{1179580086720} is an apocalyptic number.

1179580086720 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 1179580086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501316474624).

1179580086720 is an abundant number, since it is smaller than the sum of its proper divisors (3823052862528).

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

1179580086720 is a wasteful number, since it uses less digits than its factorization.

1179580086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 1179580086720 in words is "one trillion, one hundred seventy-nine billion, five hundred eighty million, eighty-six thousand, seven hundred twenty".