13271055550704 has 1120 divisors, whose sum is σ = 49018849449984. Its totient is φ = 3389689036800.

The previous prime is 13271055550699. The next prime is 13271055550717. The reversal of 13271055550704 is 40705555017231.

13271055550704 is a `hidden beast` number, since 1 + 3 + 27 + 1 + 0 + 5 + 5 + 550 + 70 + 4 = 666.

It is a super-2 number, since 2×13271055550704² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13271055550704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4820578192 + ... + 4820580944.

Almost surely, 2^{13271055550704} is an apocalyptic number.

13271055550704 is a gapful number since it is divisible by the number (14) 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 13271055550704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24509424724992).

13271055550704 is an abundant number, since it is smaller than the sum of its proper divisors (35747793899280).

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

13271055550704 is a wasteful number, since it uses less digits than its factorization.

13271055550704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 13271055550704 in words is "thirteen trillion, two hundred seventy-one billion, fifty-five million, five hundred fifty thousand, seven hundred four".