27241996320 has 1152 divisors, whose sum is σ = 124464936960. Its totient is φ = 5255331840.

The previous prime is 27241996279. The next prime is 27241996337. The reversal of 27241996320 is 2369914272.

27241996320 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 1 + 9 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141150144 + ... + 141150336.

It is an arithmetic number, because the mean of its divisors is an integer number (108042480).

Almost surely, 2^27241996320 is an apocalyptic number.

27241996320 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 27241996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62232468480).

27241996320 is an abundant number, since it is smaller than the sum of its proper divisors (97222940640).

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

27241996320 is a wasteful number, since it uses less digits than its factorization.

27241996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 27241996320 in words is "twenty-seven billion, two hundred forty-one million, nine hundred ninety-six thousand, three hundred twenty".