27846859800960 has 768 divisors, whose sum is σ = 99273578564160. Its totient is φ = 7188651638784.

The previous prime is 27846859800943. The next prime is 27846859800979. The reversal of 27846859800960 is 6900895864872.

27846859800960 is a `hidden beast` number, since 2 + 78 + 468 + 5 + 9 + 8 + 0 + 0 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17010909262 + ... + 17010910898.

Almost surely, 2^{27846859800960} is an apocalyptic number.

27846859800960 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 27846859800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49636789282080).

27846859800960 is an abundant number, since it is smaller than the sum of its proper divisors (71426718763200).

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

27846859800960 is a wasteful number, since it uses less digits than its factorization.

27846859800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 27846859800960 in words is "twenty-seven trillion, eight hundred forty-six billion, eight hundred fifty-nine million, eight hundred thousand, nine hundred sixty".