6141052800 has 768 divisors, whose sum is σ = 24656011200. Its totient is φ = 1486356480.

The previous prime is 6141052793. The next prime is 6141052807. The reversal of 6141052800 is 82501416.

It is an interprime number because it is at equal distance from previous prime (6141052793) and next prime (6141052807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141052807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54345544 + ... + 54345656.

Almost surely, 2^6141052800 is an apocalyptic number.

6141052800 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 6141052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328005600).

6141052800 is an abundant number, since it is smaller than the sum of its proper divisors (18514958400).

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

6141052800 is a wasteful number, since it uses less digits than its factorization.

6141052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6141052800 is about 78364.8696802336. The cubic root of 6141052800 is about 1831.2498851860.

The spelling of 6141052800 in words is "six billion, one hundred forty-one million, fifty-two thousand, eight hundred".