83033233920 has 1280 divisors, whose sum is σ = 372656148480. Its totient is φ = 17055940608.

The previous prime is 83033233901. The next prime is 83033233931. The reversal of 83033233920 is 2933233038.

83033233920 is a `hidden beast` number, since 8 + 303 + 323 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 270466407 + ... + 270466713.

It is an arithmetic number, because the mean of its divisors is an integer number (291137616).

Almost surely, 2^83033233920 is an apocalyptic number.

83033233920 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 83033233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186328074240).

83033233920 is an abundant number, since it is smaller than the sum of its proper divisors (289622914560).

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

83033233920 is a wasteful number, since it uses less digits than its factorization.

83033233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 83033233920 its reverse (2933233038), we get a palindrome (85966466958).

The spelling of 83033233920 in words is "eighty-three billion, thirty-three million, two hundred thirty-three thousand, nine hundred twenty".