71584406088 has 128 divisors (see below), whose sum is σ = 194570449920. Its totient is φ = 21815988480.

The previous prime is 71584406071. The next prime is 71584406147. The reversal of 71584406088 is 88060448517.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71584406088.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26442831 + ... + 26445537.

It is an arithmetic number, because the mean of its divisors is an integer number (1520081640).

Almost surely, 2^71584406088 is an apocalyptic number.

71584406088 is a gapful number since it is divisible by the number (78) 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 71584406088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97285224960).

71584406088 is an abundant number, since it is smaller than the sum of its proper divisors (122986043832).

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

71584406088 is a wasteful number, since it uses less digits than its factorization.

71584406088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 71584406088 in words is "seventy-one billion, five hundred eighty-four million, four hundred six thousand, eighty-eight".