6133119904260 has 36 divisors (see below), whose sum is σ = 18603797043468. Its totient is φ = 1635498641088.

The previous prime is 6133119904259. The next prime is 6133119904271. The reversal of 6133119904260 is 624099113316.

6133119904260 is a `hidden beast` number, since 6 + 1 + 3 + 31 + 199 + 0 + 426 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2138046386436 + 3995073517824 = 1462206^2 + 1998768^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6133119904260² (a number of 26 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17036443999 + ... + 17036444358.

Almost surely, 2^{6133119904260} is an apocalyptic number.

6133119904260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6133119904260 is an abundant number, since it is smaller than the sum of its proper divisors (12470677139208).

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

6133119904260 is a wasteful number, since it uses less digits than its factorization.

6133119904260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34072888372 (or 34072888367 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 6133119904260 in words is "six trillion, one hundred thirty-three billion, one hundred nineteen million, nine hundred four thousand, two hundred sixty".