1159379779320 has 768 divisors, whose sum is σ = 4611553689600. Its totient is φ = 246905487360.

The previous prime is 1159379779309. The next prime is 1159379779321. The reversal of 1159379779320 is 239779739511.

1159379779320 is a `hidden beast` number, since 1 + 1 + 593 + 7 + 9 + 7 + 7 + 9 + 32 + 0 = 666.

It is a super-2 number, since 2×1159379779320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159379779321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1343429209 + ... + 1343430071.

It is an arithmetic number, because the mean of its divisors is an integer number (6004627200).

Almost surely, 2^{1159379779320} is an apocalyptic number.

1159379779320 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 1159379779320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305776844800).

1159379779320 is an abundant number, since it is smaller than the sum of its proper divisors (3452173910280).

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

1159379779320 is a wasteful number, since it uses less digits than its factorization.

1159379779320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 1159379779320 in words is "one trillion, one hundred fifty-nine billion, three hundred seventy-nine million, seven hundred seventy-nine thousand, three hundred twenty".