27248633280 has 280 divisors, whose sum is σ = 105740941680. Its totient is φ = 6605660160.

The previous prime is 27248633263. The next prime is 27248633299. The reversal of 27248633280 is 8233684272.

27248633280 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 8 + 633 + 2 + 8 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237336 + ... + 332904.

Almost surely, 2^27248633280 is an apocalyptic number.

27248633280 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 27248633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52870470840).

27248633280 is an abundant number, since it is smaller than the sum of its proper divisors (78492308400).

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

27248633280 is a wasteful number, since it uses less digits than its factorization.

27248633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95609 (or 95590 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27248633280 in words is "twenty-seven billion, two hundred forty-eight million, six hundred thirty-three thousand, two hundred eighty".