82880838144 has 1120 divisors, whose sum is σ = 300555763200. Its totient is φ = 22574039040.

The previous prime is 82880838101. The next prime is 82880838151. The reversal of 82880838144 is 44183808828.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2673575409 + ... + 2673575439.

It is an arithmetic number, because the mean of its divisors is an integer number (268353360).

Almost surely, 2^82880838144 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 82880838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150277881600).

82880838144 is an abundant number, since it is smaller than the sum of its proper divisors (217674925056).

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

82880838144 is a wasteful number, since it uses less digits than its factorization.

82880838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 82880838144 in words is "eighty-two billion, eight hundred eighty million, eight hundred thirty-eight thousand, one hundred forty-four".