81274410288 has 320 divisors, whose sum is σ = 256676428800. Its totient is φ = 24508108800.

The previous prime is 81274410281. The next prime is 81274410289. The reversal of 81274410288 is 88201447218.

81274410288 is a `hidden beast` number, since 8 + 127 + 441 + 0 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (81274410281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56011963 + ... + 56013413.

It is an arithmetic number, because the mean of its divisors is an integer number (802113840).

Almost surely, 2^81274410288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81274410288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338214400).

81274410288 is an abundant number, since it is smaller than the sum of its proper divisors (175402018512).

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

81274410288 is a wasteful number, since it uses less digits than its factorization.

81274410288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 81274410288 in words is "eighty-one billion, two hundred seventy-four million, four hundred ten thousand, two hundred eighty-eight".