82573988039424 has 1296 divisors, whose sum is σ = 306482421598080. Its totient is φ = 22043549122560.

The previous prime is 82573988039423. The next prime is 82573988039489. The reversal of 82573988039424 is 42493088937528.

82573988039424 is a `hidden beast` number, since 8 + 2 + 5 + 7 + 3 + 98 + 80 + 39 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82573988039423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4227832539 + ... + 4227852069.

Almost surely, 2^{82573988039424} is an apocalyptic number.

82573988039424 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 82573988039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153241210799040).

82573988039424 is an abundant number, since it is smaller than the sum of its proper divisors (223908433558656).

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

82573988039424 is a wasteful number, since it uses less digits than its factorization.

82573988039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19635 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 82573988039424 in words is "eighty-two trillion, five hundred seventy-three billion, nine hundred eighty-eight million, thirty-nine thousand, four hundred twenty-four".