83057354784 has 288 divisors, whose sum is σ = 255505985280. Its totient is φ = 25496985600.

The previous prime is 83057354777. The next prime is 83057354867. The reversal of 83057354784 is 48745375038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 83057354784.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78281614 + ... + 78282674.

It is an arithmetic number, because the mean of its divisors is an integer number (887173560).

Almost surely, 2^83057354784 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 83057354784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127752992640).

83057354784 is an abundant number, since it is smaller than the sum of its proper divisors (172448630496).

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

83057354784 is a wasteful number, since it uses less digits than its factorization.

83057354784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 83057354784 in words is "eighty-three billion, fifty-seven million, three hundred fifty-four thousand, seven hundred eighty-four".