25835942264832 has 1440 divisors, whose sum is σ = 93632051665152. Its totient is φ = 6696927756288.

The previous prime is 25835942264831. The next prime is 25835942264879. The reversal of 25835942264832 is 23846224953852.

25835942264832 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 594 + 2 + 2 + 6 + 4 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25835942264832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25835942264831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73189637968 + ... + 73189638320.

Almost surely, 2^{25835942264832} 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 25835942264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816025832576).

25835942264832 is an abundant number, since it is smaller than the sum of its proper divisors (67796109400320).

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

25835942264832 is a wasteful number, since it uses less digits than its factorization.

25835942264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 522 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 25835942264832 in words is "twenty-five trillion, eight hundred thirty-five billion, nine hundred forty-two million, two hundred sixty-four thousand, eight hundred thirty-two".