82783507825920 has 576 divisors, whose sum is σ = 313399365672960. Its totient is φ = 18399168921600.

The previous prime is 82783507825903. The next prime is 82783507825927. The reversal of 82783507825920 is 2952870538728.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82783507825927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23215662 + ... + 26543058.

It is an arithmetic number, because the mean of its divisors is an integer number (544096120960).

Almost surely, 2^{82783507825920} is an apocalyptic number.

82783507825920 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 82783507825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156699682836480).

82783507825920 is an abundant number, since it is smaller than the sum of its proper divisors (230615857847040).

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

82783507825920 is a wasteful number, since it uses less digits than its factorization.

82783507825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327482 (or 3327468 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 82783507825920 in words is "eighty-two trillion, seven hundred eighty-three billion, five hundred seven million, eight hundred twenty-five thousand, nine hundred twenty".