1079294361600 has 1632 divisors, whose sum is σ = 4660003962880. Its totient is φ = 214035333120.

The previous prime is 1079294361599. The next prime is 1079294361611. The reversal of 1079294361600 is 61634929701.

It is a super-3 number, since 3×1079294361600³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1079294361600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8498380737 + ... + 8498380863.

Almost surely, 2^{1079294361600} is an apocalyptic number.

1079294361600 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 1079294361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330001981440).

1079294361600 is an abundant number, since it is smaller than the sum of its proper divisors (3580709601280).

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

1079294361600 is a wasteful number, since it uses less digits than its factorization.

1079294361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 1079294361600 in words is "one trillion, seventy-nine billion, two hundred ninety-four million, three hundred sixty-one thousand, six hundred".