271817994122640 has 960 divisors, whose sum is σ = 1114257185832960. Its totient is φ = 57966369914880.

The previous prime is 271817994122629. The next prime is 271817994122663. The reversal of 271817994122640 is 46221499718172.

271817994122640 is a `hidden beast` number, since 2 + 7 + 1 + 8 + 179 + 9 + 412 + 2 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13917249675 + ... + 13917269205.

It is an arithmetic number, because the mean of its divisors is an integer number (1160684568576).

Almost surely, 2^{271817994122640} is an apocalyptic number.

271817994122640 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 271817994122640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557128592916480).

271817994122640 is an abundant number, since it is smaller than the sum of its proper divisors (842439191710320).

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

271817994122640 is a wasteful number, since it uses less digits than its factorization.

271817994122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20980 (or 20971 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 271817994122640 in words is "two hundred seventy-one trillion, eight hundred seventeen billion, nine hundred ninety-four million, one hundred twenty-two thousand, six hundred forty".