27314454882792 has 2048 divisors, whose sum is σ = 99475469107200. Its totient is φ = 6085715328000.

The previous prime is 27314454882779. The next prime is 27314454882797. The reversal of 27314454882792 is 29728845441372.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (216760320) is a multiple of the sum of its prime divisors (294).

It is not an unprimeable number, because it can be changed into a prime (27314454882797) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 215074447833 + ... + 215074447959.

It is an arithmetic number, because the mean of its divisors is an integer number (48572006400).

Almost surely, 2^{27314454882792} is an apocalyptic number.

27314454882792 is a gapful number since it is divisible by the number (22) 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 27314454882792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737734553600).

27314454882792 is an abundant number, since it is smaller than the sum of its proper divisors (72161014224408).

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

27314454882792 is a wasteful number, since it uses less digits than its factorization.

27314454882792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 294 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 66.

The spelling of 27314454882792 in words is "twenty-seven trillion, three hundred fourteen billion, four hundred fifty-four million, eight hundred eighty-two thousand, seven hundred ninety-two".