25688819440 has 40 divisors (see below), whose sum is σ = 61786045440. Its totient is φ = 9921198336.

The previous prime is 25688819423. The next prime is 25688819461. The reversal of 25688819440 is 4491888652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5534064 + ... + 5538703.

It is an arithmetic number, because the mean of its divisors is an integer number (1544651136).

Almost surely, 2^25688819440 is an apocalyptic number.

25688819440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25688819440 is an abundant number, since it is smaller than the sum of its proper divisors (36097226000).

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

25688819440 is a wasteful number, since it uses less digits than its factorization.

25688819440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11072809 (or 11072803 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 25688819440 in words is "twenty-five billion, six hundred eighty-eight million, eight hundred nineteen thousand, four hundred forty".