25842937559040 has 1344 divisors, whose sum is σ = 108429788376000. Its totient is φ = 5906371903488.

The previous prime is 25842937558967. The next prime is 25842937559059. The reversal of 25842937559040 is 4095573924852.

25842937559040 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 2 + 9 + 37 + 5 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 2560476234 + ... + 2560486326.

It is an arithmetic number, because the mean of its divisors is an integer number (80676925875).

Almost surely, 2^{25842937559040} is an apocalyptic number.

25842937559040 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 25842937559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54214894188000).

25842937559040 is an abundant number, since it is smaller than the sum of its proper divisors (82586850816960).

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

25842937559040 is an frugal number, since it uses more digits than its factorization.

25842937559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 25842937559040 in words is "twenty-five trillion, eight hundred forty-two billion, nine hundred thirty-seven million, five hundred fifty-nine thousand, forty".