27248804352 has 1200 divisors, whose sum is σ = 109729173312. Its totient is φ = 6642155520.

The previous prime is 27248804339. The next prime is 27248804357. The reversal of 27248804352 is 25340884272.

It is a super-2 number, since 2×27248804352² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27248804298 and 27248804307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27248804357) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 514128358 + ... + 514128410.

Almost surely, 2^27248804352 is an apocalyptic number.

27248804352 is a gapful number since it is divisible by the number (22) 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 27248804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864586656).

27248804352 is an abundant number, since it is smaller than the sum of its proper divisors (82480368960).

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

27248804352 is a wasteful number, since it uses less digits than its factorization.

27248804352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 27248804352 in words is "twenty-seven billion, two hundred forty-eight million, eight hundred four thousand, three hundred fifty-two".