6133855572000 has 2688 divisors, whose sum is σ = 25727185516032. Its totient is φ = 1426553856000.

The previous prime is 6133855571923. The next prime is 6133855572037. The reversal of 6133855572000 is 2755583316.

6133855572000 is a `hidden beast` number, since 6 + 13 + 3 + 85 + 557 + 2 + 0 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 86392331965 + ... + 86392332035.

It is an arithmetic number, because the mean of its divisors is an integer number (9571125564).

Almost surely, 2^{6133855572000} is an apocalyptic number.

6133855572000 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 6133855572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863592758016).

6133855572000 is an abundant number, since it is smaller than the sum of its proper divisors (19593329944032).

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

6133855572000 is a wasteful number, since it uses less digits than its factorization.

6133855572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 6133855572000 in words is "six trillion, one hundred thirty-three billion, eight hundred fifty-five million, five hundred seventy-two thousand".