6133400528320 has 112 divisors (see below), whose sum is σ = 15730984751328. Its totient is φ = 2264301711360.

The previous prime is 6133400528251. The next prime is 6133400528377. The reversal of 6133400528320 is 238250043316.

It is a self number, because there is not a number n which added to its sum of digits gives 6133400528320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28626390 + ... + 28839850.

It is an arithmetic number, because the mean of its divisors is an integer number (140455220994).

Almost surely, 2^{6133400528320} 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 6133400528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865492375664).

6133400528320 is an abundant number, since it is smaller than the sum of its proper divisors (9597584223008).

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

6133400528320 is a wasteful number, since it uses less digits than its factorization.

6133400528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220398 (or 220388 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 6133400528320 in words is "six trillion, one hundred thirty-three billion, four hundred million, five hundred twenty-eight thousand, three hundred twenty".