71192553093888 has 144 divisors (see below), whose sum is σ = 189663903348192. Its totient is φ = 23707328512000.

The previous prime is 71192553093887. The next prime is 71192553093911. The reversal of 71192553093888 is 88839035529117.

It is not an unprimeable number, because it can be changed into a prime (71192553093881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6126192718 + ... + 6126204338.

It is an arithmetic number, because the mean of its divisors is an integer number (1317110439918).

Almost surely, 2^{71192553093888} 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 71192553093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94831951674096).

71192553093888 is an abundant number, since it is smaller than the sum of its proper divisors (118471350254304).

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

71192553093888 is a wasteful number, since it uses less digits than its factorization.

71192553093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862 (or 18848 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 71192553093888 in words is "seventy-one trillion, one hundred ninety-two billion, five hundred fifty-three million, ninety-three thousand, eight hundred eighty-eight".