71889113088 has 416 divisors, whose sum is σ = 236907310080. Its totient is φ = 21392916480.

The previous prime is 71889113039. The next prime is 71889113113. The reversal of 71889113088 is 88031198817.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 44567770 + ... + 44569382.

Almost surely, 2^71889113088 is an apocalyptic number.

71889113088 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 71889113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118453655040).

71889113088 is an abundant number, since it is smaller than the sum of its proper divisors (165018196992).

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

71889113088 is a wasteful number, since it uses less digits than its factorization.

71889113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 71889113088 in words is "seventy-one billion, eight hundred eighty-nine million, one hundred thirteen thousand, eighty-eight".