27116790422400 has 960 divisors, whose sum is σ = 114809157413280. Its totient is φ = 6173900144640.

The previous prime is 27116790422257. The next prime is 27116790422441. The reversal of 27116790422400 is 422409761172.

27116790422400 is a `hidden beast` number, since 2 + 7 + 116 + 7 + 90 + 42 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 466271724 + ... + 466329876.

Almost surely, 2^{27116790422400} is an apocalyptic number.

27116790422400 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 27116790422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57404578706640).

27116790422400 is an abundant number, since it is smaller than the sum of its proper divisors (87692366990880).

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

27116790422400 is a wasteful number, since it uses less digits than its factorization.

27116790422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58453 (or 58427 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27116790422400 in words is "twenty-seven trillion, one hundred sixteen billion, seven hundred ninety million, four hundred twenty-two thousand, four hundred".