83201854050 has 576 divisors, whose sum is σ = 286412025600. Its totient is φ = 17395378560.

The previous prime is 83201853979. The next prime is 83201854093. The reversal of 83201854050 is 5045810238.

It is a happy number.

83201854050 is a `hidden beast` number, since 83 + 20 + 18 + 540 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83201853996 and 83201854014.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2869029436 + ... + 2869029464.

It is an arithmetic number, because the mean of its divisors is an integer number (497243100).

Almost surely, 2^83201854050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83201854050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143206012800).

83201854050 is an abundant number, since it is smaller than the sum of its proper divisors (203210171550).

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

83201854050 is a wasteful number, since it uses less digits than its factorization.

83201854050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 83201854050 in words is "eighty-three billion, two hundred one million, eight hundred fifty-four thousand, fifty".