71056248192 has 224 divisors, whose sum is σ = 213136705080. Its totient is φ = 23585292288.

The previous prime is 71056248191. The next prime is 71056248229. The reversal of 71056248192 is 29184265017.

71056248192 is a `hidden beast` number, since 7 + 1 + 0 + 5 + 624 + 8 + 19 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71056248191) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23979703 + ... + 23982665.

Almost surely, 2^71056248192 is an apocalyptic number.

71056248192 is a gapful number since it is divisible by the number (72) 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 71056248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106568352540).

71056248192 is an abundant number, since it is smaller than the sum of its proper divisors (142080456888).

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

71056248192 is an equidigital number, since it uses as much as digits as its factorization.

71056248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 71056248192 in words is "seventy-one billion, fifty-six million, two hundred forty-eight thousand, one hundred ninety-two".