71775164160 has 864 divisors, whose sum is σ = 308076193152. Its totient is φ = 15052308480.

The previous prime is 71775164147. The next prime is 71775164203. The reversal of 71775164160 is 6146157717.

It is a happy number.

71775164160 is a `hidden beast` number, since 7 + 1 + 77 + 516 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56205442 + ... + 56206718.

It is an arithmetic number, because the mean of its divisors is an integer number (356569668).

Almost surely, 2^71775164160 is an apocalyptic number.

71775164160 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 71775164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154038096576).

71775164160 is an abundant number, since it is smaller than the sum of its proper divisors (236301028992).

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

71775164160 is a wasteful number, since it uses less digits than its factorization.

71775164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 71775164160 in words is "seventy-one billion, seven hundred seventy-five million, one hundred sixty-four thousand, one hundred sixty".