1009080115200 has 840 divisors, whose sum is σ = 3805147035360. Its totient is φ = 264270643200.

The previous prime is 1009080115171. The next prime is 1009080115213. The reversal of 1009080115200 is 25110809001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 978738685 + ... + 978739715.

Almost surely, 2^{1009080115200} is an apocalyptic number.

1009080115200 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 1009080115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902573517680).

1009080115200 is an abundant number, since it is smaller than the sum of its proper divisors (2796066920160).

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

1009080115200 is an equidigital number, since it uses as much as digits as its factorization.

1009080115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 1009080115200 in words is "one trillion, nine billion, eighty million, one hundred fifteen thousand, two hundred".