27863020224 has 280 divisors, whose sum is σ = 91824340608. Its totient is φ = 8296058880.

The previous prime is 27863020139. The next prime is 27863020267. The reversal of 27863020224 is 42202036872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2082484 + ... + 2095820.

Almost surely, 2^27863020224 is an apocalyptic number.

27863020224 is a gapful number since it is divisible by the number (24) 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 27863020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912170304).

27863020224 is an abundant number, since it is smaller than the sum of its proper divisors (63961320384).

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

27863020224 is a wasteful number, since it uses less digits than its factorization.

27863020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 27863020224 in words is "twenty-seven billion, eight hundred sixty-three million, twenty thousand, two hundred twenty-four".