82507890119352 has 256 divisors, whose sum is σ = 219939381043200. Its totient is φ = 25749819648000.

The previous prime is 82507890119351. The next prime is 82507890119383. The reversal of 82507890119352 is 25391109870528.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507890119351) 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, 1604530602 + ... + 1604582022.

It is an arithmetic number, because the mean of its divisors is an integer number (859138207200).

Almost surely, 2^{82507890119352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82507890119352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109969690521600).

82507890119352 is an abundant number, since it is smaller than the sum of its proper divisors (137431490923848).

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

82507890119352 is a wasteful number, since it uses less digits than its factorization.

82507890119352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51958 (or 51954 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 82507890119352 in words is "eighty-two trillion, five hundred seven billion, eight hundred ninety million, one hundred nineteen thousand, three hundred fifty-two".