271435364421520 has 320 divisors, whose sum is σ = 696939792998400. Its totient is φ = 97703552194560.

The previous prime is 271435364421511. The next prime is 271435364421589. The reversal of 271435364421520 is 25124463534172.

It is a super-2 number, since 2×271435364421520² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12486090811 + ... + 12486112549.

It is an arithmetic number, because the mean of its divisors is an integer number (2177936853120).

Almost surely, 2^{271435364421520} is an apocalyptic number.

271435364421520 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 271435364421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348469896499200).

271435364421520 is an abundant number, since it is smaller than the sum of its proper divisors (425504428576880).

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

271435364421520 is a wasteful number, since it uses less digits than its factorization.

271435364421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

The spelling of 271435364421520 in words is "two hundred seventy-one trillion, four hundred thirty-five billion, three hundred sixty-four million, four hundred twenty-one thousand, five hundred twenty".