27842572800 has 960 divisors, whose sum is σ = 123848144640. Its totient is φ = 5980815360.

The previous prime is 27842572787. The next prime is 27842572837. The reversal of 27842572800 is 827524872.

27842572800 is a `hidden beast` number, since 2 + 78 + 4 + 2 + 572 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (45) 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 (45).

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 95 ways as a sum of consecutive naturals, for example, 41126062 + ... + 41126738.

It is an arithmetic number, because the mean of its divisors is an integer number (129008484).

Almost surely, 2^27842572800 is an apocalyptic number.

27842572800 is a gapful number since it is divisible by the number (20) 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 27842572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61924072320).

27842572800 is an abundant number, since it is smaller than the sum of its proper divisors (96005571840).

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

27842572800 is a wasteful number, since it uses less digits than its factorization.

27842572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 27842572800 in words is "twenty-seven billion, eight hundred forty-two million, five hundred seventy-two thousand, eight hundred".