71268500160 has 896 divisors, whose sum is σ = 303551539200. Its totient is φ = 15507210240.

The previous prime is 71268500131. The next prime is 71268500161. The reversal of 71268500160 is 6100586217.

71268500160 is a `hidden beast` number, since 71 + 26 + 8 + 500 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71268500161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45713461 + ... + 45715019.

It is an arithmetic number, because the mean of its divisors is an integer number (338785200).

Almost surely, 2^71268500160 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 71268500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151775769600).

71268500160 is an abundant number, since it is smaller than the sum of its proper divisors (232283039040).

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

71268500160 is a wasteful number, since it uses less digits than its factorization.

71268500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 71268500160 in words is "seventy-one billion, two hundred sixty-eight million, five hundred thousand, one hundred sixty".