27845233920 has 1152 divisors, whose sum is σ = 120677760000. Its totient is φ = 6145155072.

The previous prime is 27845233919. The next prime is 27845233921. The reversal of 27845233920 is 2933254872.

27845233920 is a `hidden beast` number, since 2 + 78 + 4 + 523 + 39 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (27845233919) and next prime (27845233921).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27845233921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 960180466 + ... + 960180494.

It is an arithmetic number, because the mean of its divisors is an integer number (104755000).

Almost surely, 2^27845233920 is an apocalyptic number.

27845233920 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 27845233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338880000).

27845233920 is an abundant number, since it is smaller than the sum of its proper divisors (92832526080).

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

27845233920 is an frugal number, since it uses more digits than its factorization.

27845233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27845233920 in words is "twenty-seven billion, eight hundred forty-five million, two hundred thirty-three thousand, nine hundred twenty".