27249194385252 has 192 divisors, whose sum is σ = 83484839854080. Its totient is φ = 7521500332800.

The previous prime is 27249194385209. The next prime is 27249194385271. The reversal of 27249194385252 is 25258349194272.

It is a happy number.

27249194385252 is a `hidden beast` number, since 2 + 7 + 2 + 49 + 194 + 385 + 25 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27249194385252.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12766552 + ... + 14747312.

It is an arithmetic number, because the mean of its divisors is an integer number (434816874240).

Almost surely, 2^{27249194385252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27249194385252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41742419927040).

27249194385252 is an abundant number, since it is smaller than the sum of its proper divisors (56235645468828).

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

27249194385252 is a wasteful number, since it uses less digits than its factorization.

27249194385252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981399 (or 1981391 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 27249194385252 in words is "twenty-seven trillion, two hundred forty-nine billion, one hundred ninety-four million, three hundred eighty-five thousand, two hundred fifty-two".