27492779825280 has 1280 divisors, whose sum is σ = 125013614837760. Its totient is φ = 5591198638080.

The previous prime is 27492779825267. The next prime is 27492779825281. The reversal of 27492779825280 is 8252897729472.

27492779825280 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 2 + 7 + 7 + 98 + 2 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27492779825199 and 27492779825208.

It is not an unprimeable number, because it can be changed into a prime (27492779825281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 187535689 + ... + 187682231.

It is an arithmetic number, because the mean of its divisors is an integer number (97666886592).

Almost surely, 2^{27492779825280} is an apocalyptic number.

27492779825280 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 27492779825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62506807418880).

27492779825280 is an abundant number, since it is smaller than the sum of its proper divisors (97520835012480).

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

27492779825280 is a wasteful number, since it uses less digits than its factorization.

27492779825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146639 (or 146618 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 27492779825280 in words is "twenty-seven trillion, four hundred ninety-two billion, seven hundred seventy-nine million, eight hundred twenty-five thousand, two hundred eighty".