825268590342 has 128 divisors (see below), whose sum is σ = 2189663539200. Its totient is φ = 225405936000.

The previous prime is 825268590253. The next prime is 825268590347. The reversal of 825268590342 is 243095862528.

825268590342 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 6 + 8 + 590 + 3 + 42 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825268590347) 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, 734467 + ... + 1479857.

It is an arithmetic number, because the mean of its divisors is an integer number (17106746400).

Almost surely, 2^825268590342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825268590342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094831769600).

825268590342 is an abundant number, since it is smaller than the sum of its proper divisors (1364394948858).

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

825268590342 is a wasteful number, since it uses less digits than its factorization.

825268590342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745539 (or 745533 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 825268590342 in words is "eight hundred twenty-five billion, two hundred sixty-eight million, five hundred ninety thousand, three hundred forty-two".