6117615327200 has 144 divisors (see below), whose sum is σ = 16098137309520. Its totient is φ = 2256748523520.

The previous prime is 6117615327157. The next prime is 6117615327251. The reversal of 6117615327200 is 27235167116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11140691 + ... + 11676909.

It is an arithmetic number, because the mean of its divisors is an integer number (111792620205).

Almost surely, 2^{6117615327200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6117615327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049068654760).

6117615327200 is an abundant number, since it is smaller than the sum of its proper divisors (9980521982320).

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

6117615327200 is a wasteful number, since it uses less digits than its factorization.

6117615327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537349 (or 537336 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 6117615327200 in words is "six trillion, one hundred seventeen billion, six hundred fifteen million, three hundred twenty-seven thousand, two hundred".