1179486097920 has 1440 divisors, whose sum is σ = 4731145848000. Its totient is φ = 270654898176.

The previous prime is 1179486097913. The next prime is 1179486097927. The reversal of 1179486097920 is 297906849711.

1179486097920 is a `hidden beast` number, since 1 + 17 + 9 + 4 + 8 + 609 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1179486097913) and next prime (1179486097927).

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (1179486097927) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7916014006 + ... + 7916014154.

It is an arithmetic number, because the mean of its divisors is an integer number (3285517950).

Almost surely, 2^{1179486097920} is an apocalyptic number.

1179486097920 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 1179486097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365572924000).

1179486097920 is an abundant number, since it is smaller than the sum of its proper divisors (3551659750080).

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

1179486097920 is a wasteful number, since it uses less digits than its factorization.

1179486097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 1179486097920 in words is "one trillion, one hundred seventy-nine billion, four hundred eighty-six million, ninety-seven thousand, nine hundred twenty".