71834820288 has 896 divisors, whose sum is σ = 268824821760. Its totient is φ = 16406691840.

The previous prime is 71834820283. The next prime is 71834820289. The reversal of 71834820288 is 88202843817.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 71834820288.

It is not an unprimeable number, because it can be changed into a prime (71834820283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1670577195 + ... + 1670577237.

Almost surely, 2^71834820288 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 71834820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134412410880).

71834820288 is an abundant number, since it is smaller than the sum of its proper divisors (196990001472).

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

71834820288 is a wasteful number, since it uses less digits than its factorization.

71834820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 71834820288 in words is "seventy-one billion, eight hundred thirty-four million, eight hundred twenty thousand, two hundred eighty-eight".