83553730848 has 384 divisors, whose sum is σ = 298478960640. Its totient is φ = 22195261440.

The previous prime is 83553730829. The next prime is 83553730901. The reversal of 83553730848 is 84803735538.

83553730848 is a `hidden beast` number, since 8 + 3 + 553 + 7 + 3 + 0 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83553730794 and 83553730803.

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 63 ways as a sum of consecutive naturals, for example, 8528833 + ... + 8538623.

It is an arithmetic number, because the mean of its divisors is an integer number (777288960).

Almost surely, 2^83553730848 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 83553730848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149239480320).

83553730848 is an abundant number, since it is smaller than the sum of its proper divisors (214925229792).

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

83553730848 is a wasteful number, since it uses less digits than its factorization.

83553730848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 83553730848 in words is "eighty-three billion, five hundred fifty-three million, seven hundred thirty thousand, eight hundred forty-eight".