27742557226320 has 480 divisors, whose sum is σ = 99619006975488. Its totient is φ = 6894455242752.

The previous prime is 27742557226291. The next prime is 27742557226369. The reversal of 27742557226320 is 2362275524772.

27742557226320 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 2 + 5 + 572 + 2 + 63 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3833429742 + ... + 3833436978.

Almost surely, 2^{27742557226320} is an apocalyptic number.

27742557226320 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 27742557226320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49809503487744).

27742557226320 is an abundant number, since it is smaller than the sum of its proper divisors (71876449749168).

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

27742557226320 is a wasteful number, since it uses less digits than its factorization.

27742557226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 27742557226320 in words is "twenty-seven trillion, seven hundred forty-two billion, five hundred fifty-seven million, two hundred twenty-six thousand, three hundred twenty".