25819281488 has 960 divisors, whose sum is σ = 82074746880. Its totient is φ = 7664025600.

The previous prime is 25819281487. The next prime is 25819281491. The reversal of 25819281488 is 88418291852.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25819281487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 832880033 + ... + 832880063.

It is an arithmetic number, because the mean of its divisors is an integer number (85494528).

Almost surely, 2^25819281488 is an apocalyptic number.

25819281488 is a gapful number since it is divisible by the number (28) 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 25819281488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41037373440).

25819281488 is an abundant number, since it is smaller than the sum of its proper divisors (56255465392).

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

25819281488 is a wasteful number, since it uses less digits than its factorization.

25819281488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 56.

The spelling of 25819281488 in words is "twenty-five billion, eight hundred nineteen million, two hundred eighty-one thousand, four hundred eighty-eight".