271799010000 has 800 divisors, whose sum is σ = 1150351769600. Its totient is φ = 60108480000.

The previous prime is 271799009927. The next prime is 271799010019. The reversal of 271799010000 is 10997172.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58587681 + ... + 58592319.

It is an arithmetic number, because the mean of its divisors is an integer number (1437939712).

Almost surely, 2^271799010000 is an apocalyptic number.

271799010000 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 271799010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575175884800).

271799010000 is an abundant number, since it is smaller than the sum of its proper divisors (878552759600).

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

271799010000 is a wasteful number, since it uses less digits than its factorization.

271799010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 271799010000 in words is "two hundred seventy-one billion, seven hundred ninety-nine million, ten thousand".