27745194246000 has 2880 divisors, whose sum is σ = 119569987031040. Its totient is φ = 5508518400000.

The previous prime is 27745194245953. The next prime is 27745194246019. The reversal of 27745194246000 is 64249154772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 153288365910 + ... + 153288366090.

It is an arithmetic number, because the mean of its divisors is an integer number (41517356608).

Almost surely, 2^{27745194246000} is an apocalyptic number.

27745194246000 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 27745194246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59784993515520).

27745194246000 is an abundant number, since it is smaller than the sum of its proper divisors (91824792785040).

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

27745194246000 is a wasteful number, since it uses less digits than its factorization.

27745194246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 27745194246000 in words is "twenty-seven trillion, seven hundred forty-five billion, one hundred ninety-four million, two hundred forty-six thousand".