25281905376 has 192 divisors, whose sum is σ = 82475947008. Its totient is φ = 6602784768.

The previous prime is 25281905347. The next prime is 25281905377. The reversal of 25281905376 is 67350918252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25281905377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885760 + ... + 913856.

It is an arithmetic number, because the mean of its divisors is an integer number (429562224).

Almost surely, 2^25281905376 is an apocalyptic number.

25281905376 is a gapful number since it is divisible by the number (26) 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 25281905376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41237973504).

25281905376 is an abundant number, since it is smaller than the sum of its proper divisors (57194041632).

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

25281905376 is a wasteful number, since it uses less digits than its factorization.

25281905376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28233 (or 28225 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 25281905376 in words is "twenty-five billion, two hundred eighty-one million, nine hundred five thousand, three hundred seventy-six".