27350899920 has 480 divisors, whose sum is σ = 99736116480. Its totient is φ = 6701506560.

The previous prime is 27350899913. The next prime is 27350899943. The reversal of 27350899920 is 2999805372.

27350899920 is a `hidden beast` number, since 27 + 3 + 508 + 9 + 99 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36811069 + ... + 36811811.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^27350899920 is an apocalyptic number.

27350899920 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 27350899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49868058240).

27350899920 is an abundant number, since it is smaller than the sum of its proper divisors (72385216560).

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

27350899920 is a wasteful number, since it uses less digits than its factorization.

27350899920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 27350899920 in words is "twenty-seven billion, three hundred fifty million, eight hundred ninety-nine thousand, nine hundred twenty".