27924117312 has 448 divisors, whose sum is σ = 98672684544. Its totient is φ = 6759383040.

The previous prime is 27924117283. The next prime is 27924117401. The reversal of 27924117312 is 21371142972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12176838 + ... + 12179130.

It is an arithmetic number, because the mean of its divisors is an integer number (220251528).

Almost surely, 2^27924117312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27924117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49336342272).

27924117312 is an abundant number, since it is smaller than the sum of its proper divisors (70748567232).

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

27924117312 is a wasteful number, since it uses less digits than its factorization.

27924117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2376 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The spelling of 27924117312 in words is "twenty-seven billion, nine hundred twenty-four million, one hundred seventeen thousand, three hundred twelve".