25834105440 has 1536 divisors, whose sum is σ = 117050572800. Its totient is φ = 5225472000.

The previous prime is 25834105439. The next prime is 25834105463. The reversal of 25834105440 is 4450143852.

It is a happy number.

25834105440 is a `hidden beast` number, since 25 + 83 + 4 + 10 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25834105395 and 25834105404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 363860605 + ... + 363860675.

It is an arithmetic number, because the mean of its divisors is an integer number (76204800).

Almost surely, 2^25834105440 is an apocalyptic number.

25834105440 is a gapful number since it is divisible by the number (20) 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 25834105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58525286400).

25834105440 is an abundant number, since it is smaller than the sum of its proper divisors (91216467360).

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

25834105440 is a wasteful number, since it uses less digits than its factorization.

25834105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 25834105440 in words is "twenty-five billion, eight hundred thirty-four million, one hundred five thousand, four hundred forty".