83003253672 has 192 divisors, whose sum is σ = 219907396800. Its totient is φ = 26098329600.

The previous prime is 83003253647. The next prime is 83003253673. The reversal of 83003253672 is 27635230038.

It is a self number, because there is not a number n which added to its sum of digits gives 83003253672.

It is not an unprimeable number, because it can be changed into a prime (83003253673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246300288 + ... + 246300624.

It is an arithmetic number, because the mean of its divisors is an integer number (1145351025).

Almost surely, 2^83003253672 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 83003253672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109953698400).

83003253672 is an abundant number, since it is smaller than the sum of its proper divisors (136904143128).

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

83003253672 is a wasteful number, since it uses less digits than its factorization.

83003253672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 83003253672 in words is "eighty-three billion, three million, two hundred fifty-three thousand, six hundred seventy-two".