27456794860 has 144 divisors (see below), whose sum is σ = 69273550080. Its totient is φ = 9093427200.

The previous prime is 27456794789. The next prime is 27456794861. The reversal of 27456794860 is 6849765472.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27456794795 and 27456794804.

It is not an unprimeable number, because it can be changed into a prime (27456794861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264576 + ... + 1286104.

It is an arithmetic number, because the mean of its divisors is an integer number (481066320).

Almost surely, 2^27456794860 is an apocalyptic number.

27456794860 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 27456794860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34636775040).

27456794860 is an abundant number, since it is smaller than the sum of its proper divisors (41816755220).

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

27456794860 is a wasteful number, since it uses less digits than its factorization.

27456794860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21608 (or 21595 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 27456794860 in words is "twenty-seven billion, four hundred fifty-six million, seven hundred ninety-four thousand, eight hundred sixty".