1079947929600 has 864 divisors, whose sum is σ = 4143865635000. Its totient is φ = 267827281920.

The previous prime is 1079947929589. The next prime is 1079947929647. The reversal of 1079947929600 is 69297499701.

1079947929600 is a `hidden beast` number, since 1 + 0 + 79 + 9 + 479 + 2 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 24216339456 + 1055731590144 = 155616^2 + 1027488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 697189626 + ... + 697191174.

Almost surely, 2^{1079947929600} is an apocalyptic number.

1079947929600 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 1079947929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071932817500).

1079947929600 is an abundant number, since it is smaller than the sum of its proper divisors (3063917705400).

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

1079947929600 is a wasteful number, since it uses less digits than its factorization.

1079947929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 1079947929600 in words is "one trillion, seventy-nine billion, nine hundred forty-seven million, nine hundred twenty-nine thousand, six hundred".