27734730053940 has 864 divisors, whose sum is σ = 113064552881280. Its totient is φ = 5649921414144.

The previous prime is 27734730053851. The next prime is 27734730053957. The reversal of 27734730053940 is 4935003743772.

27734730053940 is a `hidden beast` number, since 2 + 7 + 7 + 34 + 7 + 30 + 0 + 539 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89624319 + ... + 89933241.

It is an arithmetic number, because the mean of its divisors is an integer number (130861751020).

Almost surely, 2^{27734730053940} is an apocalyptic number.

27734730053940 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 27734730053940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56532276440640).

27734730053940 is an abundant number, since it is smaller than the sum of its proper divisors (85329822827340).

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

27734730053940 is a wasteful number, since it uses less digits than its factorization.

27734730053940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309003 (or 308982 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 27734730053940 in words is "twenty-seven trillion, seven hundred thirty-four billion, seven hundred thirty million, fifty-three thousand, nine hundred forty".