27316623345600 has 336 divisors, whose sum is σ = 94915846577376. Its totient is φ = 6854295552000.

The previous prime is 27316623345589. The next prime is 27316623345679. The reversal of 27316623345600 is 654332661372.

It is a super-2 number, since 2×27316623345600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27316623345600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360715740 + ... + 360791460.

Almost surely, 2^{27316623345600} is an apocalyptic number.

27316623345600 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 27316623345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47457923288688).

27316623345600 is an abundant number, since it is smaller than the sum of its proper divisors (67599223231776).

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

27316623345600 is a wasteful number, since it uses less digits than its factorization.

27316623345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80184 (or 80169 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 27316623345600 in words is "twenty-seven trillion, three hundred sixteen billion, six hundred twenty-three million, three hundred forty-five thousand, six hundred".