27561265098080 has 384 divisors, whose sum is σ = 78948172800000. Its totient is φ = 9078884075520.

The previous prime is 27561265098007. The next prime is 27561265098097. The reversal of 27561265098080 is 8089056216572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236419646 + ... + 236536194.

It is an arithmetic number, because the mean of its divisors is an integer number (205594200000).

Almost surely, 2^{27561265098080} is an apocalyptic number.

27561265098080 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 27561265098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39474086400000).

27561265098080 is an abundant number, since it is smaller than the sum of its proper divisors (51386907701920).

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

27561265098080 is a wasteful number, since it uses less digits than its factorization.

27561265098080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116755 (or 116733 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 59.

The spelling of 27561265098080 in words is "twenty-seven trillion, five hundred sixty-one billion, two hundred sixty-five million, ninety-eight thousand, eighty".