27803225899008 has 720 divisors, whose sum is σ = 95506105968000. Its totient is φ = 7625537224704.

The previous prime is 27803225898989. The next prime is 27803225899039. The reversal of 27803225899008 is 80099852230872.

27803225899008 is a `hidden beast` number, since 27 + 8 + 0 + 3 + 22 + 589 + 9 + 0 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5358106078 + ... + 5358111266.

It is an arithmetic number, because the mean of its divisors is an integer number (132647369400).

Almost surely, 2^{27803225899008} is an apocalyptic number.

27803225899008 is a gapful number since it is divisible by the number (28) 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 27803225899008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47753052984000).

27803225899008 is an abundant number, since it is smaller than the sum of its proper divisors (67702880068992).

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

27803225899008 is a wasteful number, since it uses less digits than its factorization.

27803225899008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 27803225899008 in words is "twenty-seven trillion, eight hundred three billion, two hundred twenty-five million, eight hundred ninety-nine thousand, eight".