27922849920 has 1152 divisors, whose sum is σ = 121898649600. Its totient is φ = 5852528640.

The previous prime is 27922849907. The next prime is 27922849921. The reversal of 27922849920 is 2994822972.

27922849920 is a `hidden beast` number, since 27 + 92 + 28 + 499 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (27922849921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 219864897 + ... + 219865023.

It is an arithmetic number, because the mean of its divisors is an integer number (105814800).

Almost surely, 2^27922849920 is an apocalyptic number.

27922849920 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 27922849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60949324800).

27922849920 is an abundant number, since it is smaller than the sum of its proper divisors (93975799680).

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

27922849920 is a wasteful number, since it uses less digits than its factorization.

27922849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 27922849920 in words is "twenty-seven billion, nine hundred twenty-two million, eight hundred forty-nine thousand, nine hundred twenty".