82935250944 has 512 divisors, whose sum is σ = 278094888960. Its totient is φ = 21403533312.

The previous prime is 82935250943. The next prime is 82935250961. The reversal of 82935250944 is 44905253928.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×82935250944² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82935250943) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 653033409 + ... + 653033535.

It is an arithmetic number, because the mean of its divisors is an integer number (543154080).

Almost surely, 2^82935250944 is an apocalyptic number.

82935250944 is a gapful number since it is divisible by the number (84) 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 82935250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139047444480).

82935250944 is an abundant number, since it is smaller than the sum of its proper divisors (195159638016).

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

82935250944 is a wasteful number, since it uses less digits than its factorization.

82935250944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 82935250944 in words is "eighty-two billion, nine hundred thirty-five million, two hundred fifty thousand, nine hundred forty-four".