27901108622500 has 135 divisors (see below), whose sum is σ = 61759429163509. Its totient is φ = 11025748624000.

The previous prime is 27901108622447. The next prime is 27901108622501. The reversal of 27901108622500 is 522680110972.

The square root of 27901108622500 is 5282150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 27104331017124 + 796777605376 = 5206182^2 + 892624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27901108622501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23505566907 + ... + 23505568093.

Almost surely, 2^{27901108622500} is an apocalyptic number.

27901108622500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27901108622500 is the 5282150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27901108622500

27901108622500 is an abundant number, since it is smaller than the sum of its proper divisors (33858320541009).

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

27901108622500 is an frugal number, since it uses more digits than its factorization.

27901108622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 27901108622500 in words is "twenty-seven trillion, nine hundred one billion, one hundred eight million, six hundred twenty-two thousand, five hundred".