27953268720 has 160 divisors (see below), whose sum is σ = 93486016512. Its totient is φ = 6868632576.

The previous prime is 27953268689. The next prime is 27953268779. The reversal of 27953268720 is 2786235972.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823809 + ... + 1839071.

Almost surely, 2^27953268720 is an apocalyptic number.

27953268720 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 27953268720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46743008256).

27953268720 is an abundant number, since it is smaller than the sum of its proper divisors (65532747792).

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

27953268720 is a wasteful number, since it uses less digits than its factorization.

27953268720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15879 (or 15873 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 27953268720 in words is "twenty-seven billion, nine hundred fifty-three million, two hundred sixty-eight thousand, seven hundred twenty".