83235962880 has 690 divisors, whose sum is σ = 347137334874. Its totient is φ = 19025362944.

The previous prime is 83235962791. The next prime is 83235962911. The reversal of 83235962880 is 8826953238.

83235962880 is a `hidden beast` number, since 8 + 3 + 2 + 3 + 5 + 9 + 628 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66588770304 + 16647192576 = 258048^2 + 129024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11890851837 + ... + 11890851843.

Almost surely, 2^83235962880 is an apocalyptic number.

83235962880 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 83235962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173568667437).

83235962880 is an abundant number, since it is smaller than the sum of its proper divisors (263901371994).

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

83235962880 is an frugal number, since it uses more digits than its factorization.

83235962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 83235962880 in words is "eighty-three billion, two hundred thirty-five million, nine hundred sixty-two thousand, eight hundred eighty".