82972404259398 has 96 divisors (see below), whose sum is σ = 188187124020480. Its totient is φ = 26388491765760.

The previous prime is 82972404259387. The next prime is 82972404259417. The reversal of 82972404259398 is 89395240427928.

82972404259398 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 24 + 0 + 4 + 2 + 593 + 9 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105884640 + ... + 106665372.

It is an arithmetic number, because the mean of its divisors is an integer number (1960282541880).

Almost surely, 2^{82972404259398} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82972404259398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94093562010240).

82972404259398 is an abundant number, since it is smaller than the sum of its proper divisors (105214719761082).

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

82972404259398 is a wasteful number, since it uses less digits than its factorization.

82972404259398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783454 (or 783451 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 82972404259398 in words is "eighty-two trillion, nine hundred seventy-two billion, four hundred four million, two hundred fifty-nine thousand, three hundred ninety-eight".