71855790448 has 60 divisors (see below), whose sum is σ = 152448032880. Its totient is φ = 32791469568.

The previous prime is 71855790439. The next prime is 71855790473. The reversal of 71855790448 is 84409755817.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71855790392 and 71855790401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91365 + ... + 389947.

It is an arithmetic number, because the mean of its divisors is an integer number (2540800548).

Almost surely, 2^71855790448 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 71855790448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76224016440).

71855790448 is an abundant number, since it is smaller than the sum of its proper divisors (80592242432).

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

71855790448 is a wasteful number, since it uses less digits than its factorization.

71855790448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298706 (or 298687 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 58.

The spelling of 71855790448 in words is "seventy-one billion, eight hundred fifty-five million, seven hundred ninety thousand, four hundred forty-eight".