27241716405820 has 96 divisors (see below), whose sum is σ = 66283221287808. Its totient is φ = 9211031396352.

The previous prime is 27241716405809. The next prime is 27241716405829. The reversal of 27241716405820 is 2850461714272.

It is a super-2 number, since 2×27241716405820² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27241716405829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93193332 + ... + 93485188.

It is an arithmetic number, because the mean of its divisors is an integer number (690450221748).

Almost surely, 2^{27241716405820} is an apocalyptic number.

27241716405820 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 27241716405820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33141610643904).

27241716405820 is an abundant number, since it is smaller than the sum of its proper divisors (39041504881988).

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

27241716405820 is a wasteful number, since it uses less digits than its factorization.

27241716405820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301079 (or 301077 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The spelling of 27241716405820 in words is "twenty-seven trillion, two hundred forty-one billion, seven hundred sixteen million, four hundred five thousand, eight hundred twenty".