25289750610432 has 960 divisors, whose sum is σ = 94172159262720. Its totient is φ = 6559420538880.

The previous prime is 25289750610407. The next prime is 25289750610463. The reversal of 25289750610432 is 23401605798252.

25289750610432 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 97 + 506 + 1 + 0 + 43 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12727603743 + ... + 12727605729.

It is an arithmetic number, because the mean of its divisors is an integer number (98095999232).

It is a 1-persistent number, because it is pandigital, but 2⋅25289750610432 = 50579501220864 is not.

Almost surely, 2^{25289750610432} is an apocalyptic number.

25289750610432 is a gapful number since it is divisible by the number (22) 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 25289750610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47086079631360).

25289750610432 is an abundant number, since it is smaller than the sum of its proper divisors (68882408652288).

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

25289750610432 is a wasteful number, since it uses less digits than its factorization.

25289750610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 25289750610432 in words is "twenty-five trillion, two hundred eighty-nine billion, seven hundred fifty million, six hundred ten thousand, four hundred thirty-two".