71260508160 has 832 divisors, whose sum is σ = 269524527360. Its totient is φ = 18059231232.

The previous prime is 71260508153. The next prime is 71260508173. The reversal of 71260508160 is 6180506217.

71260508160 is a `hidden beast` number, since 71 + 26 + 0 + 508 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1657221099 + ... + 1657221141.

Almost surely, 2^71260508160 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 71260508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134762263680).

71260508160 is an abundant number, since it is smaller than the sum of its proper divisors (198264019200).

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

71260508160 is an frugal number, since it uses more digits than its factorization.

71260508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

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

The spelling of 71260508160 in words is "seventy-one billion, two hundred sixty million, five hundred eight thousand, one hundred sixty".