271994688000 has 1440 divisors, whose sum is σ = 1192007456640. Its totient is φ = 59325235200.

The previous prime is 271994687999. The next prime is 271994688041. The reversal of 271994688000 is 886499172.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×271994688000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649151791 + ... + 649152209.

It is an arithmetic number, because the mean of its divisors is an integer number (827782956).

Almost surely, 2^271994688000 is an apocalyptic number.

271994688000 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 271994688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596003728320).

271994688000 is an abundant number, since it is smaller than the sum of its proper divisors (920012768640).

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

271994688000 is a wasteful number, since it uses less digits than its factorization.

271994688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 271994688000 in words is "two hundred seventy-one billion, nine hundred ninety-four million, six hundred eighty-eight thousand".