1005616115200 has 120 divisors (see below), whose sum is σ = 2516163966360. Its totient is φ = 398263296000.

The previous prime is 1005616115177. The next prime is 1005616115209. The reversal of 1005616115200 is 25116165001.

It is a happy number.

It is a super-2 number, since 2×1005616115200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005616115209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903871 + ... + 1681729.

It is an arithmetic number, because the mean of its divisors is an integer number (20968033053).

Almost surely, 2^{1005616115200} is an apocalyptic number.

1005616115200 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 1005616115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258081983180).

1005616115200 is an abundant number, since it is smaller than the sum of its proper divisors (1510547851160).

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

1005616115200 is an equidigital number, since it uses as much as digits as its factorization.

1005616115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777988 (or 777967 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 1005616115200 in words is "one trillion, five billion, six hundred sixteen million, one hundred fifteen thousand, two hundred".