1079139232800 has 432 divisors, whose sum is σ = 4105203265800. Its totient is φ = 265730949120.

The previous prime is 1079139232763. The next prime is 1079139232819. The reversal of 1079139232800 is 82329319701.

1079139232800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 198341966736 + 880797266064 = 445356^2 + 938508^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6404026 + ... + 6570374.

Almost surely, 2^{1079139232800} is an apocalyptic number.

1079139232800 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 1079139232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052601632900).

1079139232800 is an abundant number, since it is smaller than the sum of its proper divisors (3026064033000).

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

1079139232800 is a wasteful number, since it uses less digits than its factorization.

1079139232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166445 (or 166429 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1079139232800 in words is "one trillion, seventy-nine billion, one hundred thirty-nine million, two hundred thirty-two thousand, eight hundred".