27822968709120 has 1792 divisors, whose sum is σ = 109531841448960. Its totient is φ = 6658877030400.

The previous prime is 27822968709047. The next prime is 27822968709131. The reversal of 27822968709120 is 2190786922872.

27822968709120 is a `hidden beast` number, since 278 + 2 + 296 + 8 + 70 + 9 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99014123380 + ... + 99014123660.

It is an arithmetic number, because the mean of its divisors is an integer number (61122679380).

Almost surely, 2^{27822968709120} is an apocalyptic number.

27822968709120 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 27822968709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54765920724480).

27822968709120 is an abundant number, since it is smaller than the sum of its proper divisors (81708872739840).

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

27822968709120 is a wasteful number, since it uses less digits than its factorization.

27822968709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 27822968709120 in words is "twenty-seven trillion, eight hundred twenty-two billion, nine hundred sixty-eight million, seven hundred nine thousand, one hundred twenty".