271312355328000 has 1344 divisors, whose sum is σ = 1038731976522240. Its totient is φ = 61605937152000.

The previous prime is 271312355327999. The next prime is 271312355328041. The reversal of 271312355328000 is 823553213172.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×271312355328000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663355391796 + ... + 663355392204.

It is an arithmetic number, because the mean of its divisors is an integer number (772866053960).

Almost surely, 2^{271312355328000} is an apocalyptic number.

271312355328000 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 271312355328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519365988261120).

271312355328000 is an abundant number, since it is smaller than the sum of its proper divisors (767419621194240).

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

271312355328000 is an frugal number, since it uses more digits than its factorization.

271312355328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 271312355328000 in words is "two hundred seventy-one trillion, three hundred twelve billion, three hundred fifty-five million, three hundred twenty-eight thousand".