83553529248 has 144 divisors (see below), whose sum is σ = 271788543936. Its totient is φ = 23851376640.

The previous prime is 83553529223. The next prime is 83553529261. The reversal of 83553529248 is 84292535538.

It is a happy number.

83553529248 is a `hidden beast` number, since 83 + 5 + 535 + 2 + 9 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 83553529194 and 83553529203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2343040 + ... + 2378432.

It is an arithmetic number, because the mean of its divisors is an integer number (1887420444).

Almost surely, 2^83553529248 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 83553529248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135894271968).

83553529248 is an abundant number, since it is smaller than the sum of its proper divisors (188235014688).

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

83553529248 is a wasteful number, since it uses less digits than its factorization.

83553529248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36587 (or 36576 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 83553529248 in words is "eighty-three billion, five hundred fifty-three million, five hundred twenty-nine thousand, two hundred forty-eight".