27545857920 has 384 divisors, whose sum is σ = 112738429440. Its totient is φ = 6295947264.

The previous prime is 27545857909. The next prime is 27545857993. The reversal of 27545857920 is 2975854572.

27545857920 is a `hidden beast` number, since 2 + 7 + 5 + 45 + 8 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1075989 + ... + 1101291.

It is an arithmetic number, because the mean of its divisors is an integer number (293589660).

Almost surely, 2^27545857920 is an apocalyptic number.

27545857920 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 27545857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56369214720).

27545857920 is an abundant number, since it is smaller than the sum of its proper divisors (85192571520).

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

27545857920 is an equidigital number, since it uses as much as digits as its factorization.

27545857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25344 (or 25320 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 27545857920 in words is "twenty-seven billion, five hundred forty-five million, eight hundred fifty-seven thousand, nine hundred twenty".