27789114240 has 384 divisors, whose sum is σ = 104280883200. Its totient is φ = 6793113600.

The previous prime is 27789114239. The next prime is 27789114263. The reversal of 27789114240 is 4241198772.

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

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 47 ways as a sum of consecutive naturals, for example, 3388545 + ... + 3396735.

It is an arithmetic number, because the mean of its divisors is an integer number (271564800).

Almost surely, 2^27789114240 is an apocalyptic number.

27789114240 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 27789114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52140441600).

27789114240 is an abundant number, since it is smaller than the sum of its proper divisors (76491768960).

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

27789114240 is a wasteful number, since it uses less digits than its factorization.

27789114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27789114240 in words is "twenty-seven billion, seven hundred eighty-nine million, one hundred fourteen thousand, two hundred forty".