25619005440 has 816 divisors, whose sum is σ = 108942020928. Its totient is φ = 5435817984.

The previous prime is 25619005439. The next prime is 25619005549. The reversal of 25619005440 is 4450091652.

25619005440 is a `hidden beast` number, since 2 + 561 + 9 + 0 + 0 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

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 = 25619005395 and 25619005404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350945244 + ... + 350945316.

Almost surely, 2^25619005440 is an apocalyptic number.

25619005440 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 25619005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54471010464).

25619005440 is an abundant number, since it is smaller than the sum of its proper divisors (83323015488).

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

25619005440 is an equidigital number, since it uses as much as digits as its factorization.

25619005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 25619005440 in words is "twenty-five billion, six hundred nineteen million, five thousand, four hundred forty".