9016245507600 has 960 divisors, whose sum is σ = 34772732974080. Its totient is φ = 2210232729600.

The previous prime is 9016245507539. The next prime is 9016245507667. The reversal of 9016245507600 is 67055426109.

9016245507600 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 24 + 550 + 76 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 6566820514 + ... + 6566821886.

It is an arithmetic number, because the mean of its divisors is an integer number (36221596848).

Almost surely, 2^{9016245507600} is an apocalyptic number.

9016245507600 is a gapful number since it is divisible by the number (90) 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 9016245507600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386366487040).

9016245507600 is an abundant number, since it is smaller than the sum of its proper divisors (25756487466480).

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

9016245507600 is a wasteful number, since it uses less digits than its factorization.

9016245507600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 9016245507600 in words is "nine trillion, sixteen billion, two hundred forty-five million, five hundred seven thousand, six hundred".