1079197593600 has 624 divisors, whose sum is σ = 4209644533760. Its totient is φ = 238701772800.

The previous prime is 1079197593599. The next prime is 1079197593601. The reversal of 1079197593600 is 63957919701.

It is an interprime number because it is at equal distance from previous prime (1079197593599) and next prime (1079197593601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079197593601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66654306 + ... + 66670494.

Almost surely, 2^{1079197593600} is an apocalyptic number.

1079197593600 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 1079197593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104822266880).

1079197593600 is an abundant number, since it is smaller than the sum of its proper divisors (3130446940160).

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

1079197593600 is a wasteful number, since it uses less digits than its factorization.

1079197593600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16264 (or 16237 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 57.

The spelling of 1079197593600 in words is "one trillion, seventy-nine billion, one hundred ninety-seven million, five hundred ninety-three thousand, six hundred".