71541593760 has 864 divisors, whose sum is σ = 295179292800. Its totient is φ = 14259068928.

The previous prime is 71541593713. The next prime is 71541593789. The reversal of 71541593760 is 6739514517.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 143 ways as a sum of consecutive naturals, for example, 204990066 + ... + 204990414.

It is an arithmetic number, because the mean of its divisors is an integer number (341642700).

Almost surely, 2^71541593760 is an apocalyptic number.

71541593760 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 71541593760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147589646400).

71541593760 is an abundant number, since it is smaller than the sum of its proper divisors (223637699040).

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

71541593760 is a wasteful number, since it uses less digits than its factorization.

71541593760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 71541593760 in words is "seventy-one billion, five hundred forty-one million, five hundred ninety-three thousand, seven hundred sixty".