6111028800 has 420 divisors, whose sum is σ = 22860379476. Its totient is φ = 1600819200.

The previous prime is 6111028793. The next prime is 6111028801. The reversal of 6111028800 is 88201116.

It can be written as a sum of positive squares in 6 ways, for example, as 2591217216 + 3519811584 = 50904^2 + 59328^2 .

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 (6111028801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7905214 + ... + 7905986.

Almost surely, 2^6111028800 is an apocalyptic number.

6111028800 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 6111028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430189738).

6111028800 is an abundant number, since it is smaller than the sum of its proper divisors (16749350676).

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

6111028800 is a wasteful number, since it uses less digits than its factorization.

6111028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 6111028800 is about 78173.0695316488. The cubic root of 6111028800 is about 1828.2606424009.

Adding to 6111028800 its reverse (88201116), we get a palindrome (6199229916).

The spelling of 6111028800 in words is "six billion, one hundred eleven million, twenty-eight thousand, eight hundred".