6130557033300 has 1440 divisors, whose sum is σ = 24291534575616. Its totient is φ = 1307860992000.

The previous prime is 6130557033283. The next prime is 6130557033311. The reversal of 6130557033300 is 33307550316.

6130557033300 is a `hidden beast` number, since 613 + 0 + 5 + 5 + 7 + 0 + 3 + 3 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6990372462 + ... + 6990373338.

Almost surely, 2^{6130557033300} is an apocalyptic number.

6130557033300 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 6130557033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12145767287808).

6130557033300 is an abundant number, since it is smaller than the sum of its proper divisors (18160977542316).

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

6130557033300 is a wasteful number, since it uses less digits than its factorization.

6130557033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 36.

The spelling of 6130557033300 in words is "six trillion, one hundred thirty billion, five hundred fifty-seven million, thirty-three thousand, three hundred".