83288023200 has 1440 divisors, whose sum is σ = 343013045760. Its totient is φ = 19585843200.

The previous prime is 83288023163. The next prime is 83288023213. The reversal of 83288023200 is 232088238.

83288023200 is a `hidden beast` number, since 8 + 328 + 8 + 0 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1772085577 + ... + 1772085623.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 2^83288023200 is an apocalyptic number.

83288023200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83288023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171506522880).

83288023200 is an abundant number, since it is smaller than the sum of its proper divisors (259725022560).

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

83288023200 is a wasteful number, since it uses less digits than its factorization.

83288023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 83288023200 in words is "eighty-three billion, two hundred eighty-eight million, twenty-three thousand, two hundred".