6130252800 has 792 divisors, whose sum is σ = 26332116720. Its totient is φ = 1393459200.

The previous prime is 6130252787. The next prime is 6130252847. The reversal of 6130252800 is 82520316.

6130252800 is a `hidden beast` number, since 6 + 130 + 2 + 528 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 33868710 + ... + 33868890.

Almost surely, 2^6130252800 is an apocalyptic number.

6130252800 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 6130252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166058360).

6130252800 is an abundant number, since it is smaller than the sum of its proper divisors (20201863920).

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

6130252800 is a wasteful number, since it uses less digits than its factorization.

6130252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6130252800 is about 78295.9309287526. The cubic root of 6130252800 is about 1830.1757423267.

The spelling of 6130252800 in words is "six billion, one hundred thirty million, two hundred fifty-two thousand, eight hundred".