71181393920 has 448 divisors, whose sum is σ = 213361706880. Its totient is φ = 22328377344.

The previous prime is 71181393863. The next prime is 71181393947. The reversal of 71181393920 is 2939318117.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629923784 + ... + 629923896.

It is an arithmetic number, because the mean of its divisors is an integer number (476253810).

Almost surely, 2^71181393920 is an apocalyptic number.

71181393920 is a gapful number since it is divisible by the number (70) 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 71181393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680853440).

71181393920 is an abundant number, since it is smaller than the sum of its proper divisors (142180312960).

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

71181393920 is an equidigital number, since it uses as much as digits as its factorization.

71181393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 71181393920 in words is "seventy-one billion, one hundred eighty-one million, three hundred ninety-three thousand, nine hundred twenty".