71823144480 has 96 divisors (see below), whose sum is σ = 226437882048. Its totient is φ = 19136332800.

The previous prime is 71823144469. The next prime is 71823144521. The reversal of 71823144480 is 8444132817.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 498190 + ... + 625970.

It is an arithmetic number, because the mean of its divisors is an integer number (2358727938).

Almost surely, 2^71823144480 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 71823144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218941024).

71823144480 is an abundant number, since it is smaller than the sum of its proper divisors (154614737568).

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

71823144480 is a wasteful number, since it uses less digits than its factorization.

71823144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128970 (or 128962 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 71823144480 in words is "seventy-one billion, eight hundred twenty-three million, one hundred forty-four thousand, four hundred eighty".