6011452800 has 384 divisors, whose sum is σ = 22550119200. Its totient is φ = 1563033600.

The previous prime is 6011452771. The next prime is 6011452813. The reversal of 6011452800 is 82541106.

6011452800 is a `hidden beast` number, since 601 + 1 + 4 + 52 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6011452800² = 72275129533255680000, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3541552 + ... + 3543248.

Almost surely, 2^6011452800 is an apocalyptic number.

6011452800 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 6011452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11275059600).

6011452800 is an abundant number, since it is smaller than the sum of its proper divisors (16538666400).

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

6011452800 is a wasteful number, since it uses less digits than its factorization.

6011452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1748 counting only the distinct ones).

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

The square root of 6011452800 is about 77533.5591856842. The cubic root of 6011452800 is about 1818.2760312393.

Adding to 6011452800 its reverse (82541106), we get a palindrome (6093993906).

The spelling of 6011452800 in words is "six billion, eleven million, four hundred fifty-two thousand, eight hundred".