27921948480 has 448 divisors, whose sum is σ = 104285491200. Its totient is φ = 7018260480.

The previous prime is 27921948479. The next prime is 27921948487. The reversal of 27921948480 is 8484912972.

27921948480 is a `hidden beast` number, since 2 + 79 + 2 + 1 + 94 + 8 + 480 = 666.

It is a super-3 number, since 3×27921948480³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27921948487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14108131 + ... + 14110109.

Almost surely, 2^27921948480 is an apocalyptic number.

27921948480 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 27921948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52142745600).

27921948480 is an abundant number, since it is smaller than the sum of its proper divisors (76363542720).

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

27921948480 is a wasteful number, since it uses less digits than its factorization.

27921948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27921948480 in words is "twenty-seven billion, nine hundred twenty-one million, nine hundred forty-eight thousand, four hundred eighty".