71154248880 has 320 divisors, whose sum is σ = 259503390720. Its totient is φ = 15900364800.

The previous prime is 71154248831. The next prime is 71154248887. The reversal of 71154248880 is 8884245117.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71154248887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43894470 + ... + 43896090.

It is an arithmetic number, because the mean of its divisors is an integer number (810948096).

Almost surely, 2^71154248880 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 71154248880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129751695360).

71154248880 is an abundant number, since it is smaller than the sum of its proper divisors (188349141840).

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

71154248880 is a wasteful number, since it uses less digits than its factorization.

71154248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 71154248880 in words is "seventy-one billion, one hundred fifty-four million, two hundred forty-eight thousand, eight hundred eighty".