71009937553912 has 128 divisors (see below), whose sum is σ = 154873864535040. Its totient is φ = 29895862579200.

The previous prime is 71009937553897. The next prime is 71009937553913. The reversal of 71009937553912 is 21935573990017.

71009937553912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71009937553912² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71009937553913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052323918 + ... + 1052391394.

It is an arithmetic number, because the mean of its divisors is an integer number (1209952066680).

Almost surely, 2^{71009937553912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71009937553912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77436932267520).

71009937553912 is an abundant number, since it is smaller than the sum of its proper divisors (83863926981128).

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

71009937553912 is a wasteful number, since it uses less digits than its factorization.

71009937553912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69021 (or 69017 counting only the distinct ones).

The product of its (nonzero) digits is 16074450, while the sum is 61.

The spelling of 71009937553912 in words is "seventy-one trillion, nine billion, nine hundred thirty-seven million, five hundred fifty-three thousand, nine hundred twelve".