6133939152000 has 768 divisors, whose sum is σ = 22896629683200. Its totient is φ = 1450690560000.

The previous prime is 6133939151987. The next prime is 6133939152163. The reversal of 6133939152000 is 2519393316.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238115121 + ... + 238140879.

It is an arithmetic number, because the mean of its divisors is an integer number (29813319900).

Almost surely, 2^{6133939152000} is an apocalyptic number.

6133939152000 is a gapful number since it is divisible by the number (60) 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 6133939152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448314841600).

6133939152000 is an abundant number, since it is smaller than the sum of its proper divisors (16762690531200).

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

6133939152000 is a wasteful number, since it uses less digits than its factorization.

6133939152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25854 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The spelling of 6133939152000 in words is "six trillion, one hundred thirty-three billion, nine hundred thirty-nine million, one hundred fifty-two thousand".