71501000868 has 144 divisors (see below), whose sum is σ = 207815811840. Its totient is φ = 20499998400.

The previous prime is 71501000833. The next prime is 71501000873. The reversal of 71501000868 is 86800010517.

71501000868 is a `hidden beast` number, since 71 + 501 + 0 + 0 + 0 + 86 + 8 = 666.

It is a super-2 number, since 2×71501000868² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6216603 + ... + 6228093.

It is an arithmetic number, because the mean of its divisors is an integer number (1443165360).

Almost surely, 2^71501000868 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 71501000868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103907905920).

71501000868 is an abundant number, since it is smaller than the sum of its proper divisors (136314810972).

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

71501000868 is a wasteful number, since it uses less digits than its factorization.

71501000868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12358 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 71501000868 in words is "seventy-one billion, five hundred one million, eight hundred sixty-eight", and thus it is an aban number.