27930221280 has 768 divisors, whose sum is σ = 110872903680. Its totient is φ = 6519398400.

The previous prime is 27930221261. The next prime is 27930221299. The reversal of 27930221280 is 8212203972.

27930221280 is a `hidden beast` number, since 2 + 79 + 302 + 2 + 1 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (27930221261) and next prime (27930221299).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106198429 + ... + 106198691.

It is an arithmetic number, because the mean of its divisors is an integer number (144365760).

Almost surely, 2^27930221280 is an apocalyptic number.

27930221280 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 27930221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55436451840).

27930221280 is an abundant number, since it is smaller than the sum of its proper divisors (82942682400).

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

27930221280 is a wasteful number, since it uses less digits than its factorization.

27930221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27930221280 in words is "twenty-seven billion, nine hundred thirty million, two hundred twenty-one thousand, two hundred eighty".