1079847259920 has 960 divisors, whose sum is σ = 4453552454400. Its totient is φ = 238862131200.

The previous prime is 1079847259889. The next prime is 1079847259921. The reversal of 1079847259920 is 299527489701.

1079847259920 is a `hidden beast` number, since 1 + 0 + 7 + 98 + 472 + 59 + 9 + 20 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1079847259921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302391735 + ... + 302395305.

It is an arithmetic number, because the mean of its divisors is an integer number (4639117140).

Almost surely, 2^{1079847259920} is an apocalyptic number.

1079847259920 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 1079847259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226776227200).

1079847259920 is an abundant number, since it is smaller than the sum of its proper divisors (3373705194480).

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

1079847259920 is a wasteful number, since it uses less digits than its factorization.

1079847259920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 1079847259920 in words is "one trillion, seventy-nine billion, eight hundred forty-seven million, two hundred fifty-nine thousand, nine hundred twenty".