27717973920 has 864 divisors, whose sum is σ = 119652204672. Its totient is φ = 5719154688.

The previous prime is 27717973903. The next prime is 27717973937. The reversal of 27717973920 is 2937971772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27717973903) and next prime (27717973937).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90286407 + ... + 90286713.

It is an arithmetic number, because the mean of its divisors is an integer number (138486348).

Almost surely, 2^27717973920 is an apocalyptic number.

27717973920 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 27717973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59826102336).

27717973920 is an abundant number, since it is smaller than the sum of its proper divisors (91934230752).

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

27717973920 is a wasteful number, since it uses less digits than its factorization.

27717973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 27717973920 in words is "twenty-seven billion, seven hundred seventeen million, nine hundred seventy-three thousand, nine hundred twenty".