71335132920 has 512 divisors, whose sum is σ = 260702208000. Its totient is φ = 17283248640.

The previous prime is 71335132909. The next prime is 71335132927. The reversal of 71335132920 is 2923153317.

It is a happy number.

71335132920 is a `hidden beast` number, since 7 + 13 + 351 + 3 + 292 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71335132927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80786799 + ... + 80787681.

It is an arithmetic number, because the mean of its divisors is an integer number (509184000).

Almost surely, 2^71335132920 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 71335132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130351104000).

71335132920 is an abundant number, since it is smaller than the sum of its proper divisors (189367075080).

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

71335132920 is a wasteful number, since it uses less digits than its factorization.

71335132920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 71335132920 in words is "seventy-one billion, three hundred thirty-five million, one hundred thirty-two thousand, nine hundred twenty".