71021535144 has 128 divisors (see below), whose sum is σ = 209134464000. Its totient is φ = 19677095424.

The previous prime is 71021535107. The next prime is 71021535149. The reversal of 71021535144 is 44153512017.

It is not an unprimeable number, because it can be changed into a prime (71021535149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968772 + ... + 1039500.

It is an arithmetic number, because the mean of its divisors is an integer number (1633863000).

Almost surely, 2^71021535144 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 71021535144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104567232000).

71021535144 is an abundant number, since it is smaller than the sum of its proper divisors (138112928856).

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

71021535144 is a wasteful number, since it uses less digits than its factorization.

71021535144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70927 (or 70923 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 71021535144 in words is "seventy-one billion, twenty-one million, five hundred thirty-five thousand, one hundred forty-four".