271363739053680 has 1280 divisors, whose sum is σ = 1156574654484480. Its totient is φ = 56947890585600.

The previous prime is 271363739053657. The next prime is 271363739053753. The reversal of 271363739053680 is 86350937363172.

271363739053680 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 6 + 3 + 7 + 3 + 90 + 536 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45144521875 + ... + 45144527885.

It is an arithmetic number, because the mean of its divisors is an integer number (903573948816).

Almost surely, 2^{271363739053680} is an apocalyptic number.

271363739053680 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 271363739053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578287327242240).

271363739053680 is an abundant number, since it is smaller than the sum of its proper divisors (885210915430800).

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

271363739053680 is a wasteful number, since it uses less digits than its factorization.

271363739053680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7247 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 271363739053680 in words is "two hundred seventy-one trillion, three hundred sixty-three billion, seven hundred thirty-nine million, fifty-three thousand, six hundred eighty".