27947859448320 has 480 divisors, whose sum is σ = 115428146625792. Its totient is φ = 6110338646016.

The previous prime is 27947859448307. The next prime is 27947859448337. The reversal of 27947859448320 is 2384495874972.

It is a happy number.

27947859448320 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 7 + 8 + 594 + 4 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57687 + ... + 7476566.

Almost surely, 2^{27947859448320} is an apocalyptic number.

27947859448320 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 27947859448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57714073312896).

27947859448320 is an abundant number, since it is smaller than the sum of its proper divisors (87480287177472).

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

27947859448320 is a wasteful number, since it uses less digits than its factorization.

27947859448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534312 (or 7534293 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 27947859448320 in words is "twenty-seven trillion, nine hundred forty-seven billion, eight hundred fifty-nine million, four hundred forty-eight thousand, three hundred twenty".