71880228486144 has 1584 divisors, whose sum is σ = 241136309686272. Its totient is φ = 21364070547456.

The previous prime is 71880228486113. The next prime is 71880228486221. The reversal of 71880228486144 is 44168482208817.

71880228486144 is a `hidden beast` number, since 7 + 1 + 8 + 8 + 0 + 2 + 2 + 8 + 4 + 8 + 614 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 229649292132 + ... + 229649292444.

Almost surely, 2^{71880228486144} 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 71880228486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120568154843136).

71880228486144 is an abundant number, since it is smaller than the sum of its proper divisors (169256081200128).

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

71880228486144 is a wasteful number, since it uses less digits than its factorization.

71880228486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 71880228486144 in words is "seventy-one trillion, eight hundred eighty billion, two hundred twenty-eight million, four hundred eighty-six thousand, one hundred forty-four".