25340138496 has 440 divisors, whose sum is σ = 81320595840. Its totient is φ = 7839203328.

The previous prime is 25340138431. The next prime is 25340138531. The reversal of 25340138496 is 69483104352.

25340138496 is a `hidden beast` number, since 25 + 3 + 4 + 0 + 138 + 496 = 666.

It is a super-2 number, since 2×25340138496² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70585165 + ... + 70585523.

It is an arithmetic number, because the mean of its divisors is an integer number (184819536).

Almost surely, 2^25340138496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25340138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40660297920).

25340138496 is an abundant number, since it is smaller than the sum of its proper divisors (55980457344).

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

25340138496 is a wasteful number, since it uses less digits than its factorization.

25340138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 25340138496 in words is "twenty-five billion, three hundred forty million, one hundred thirty-eight thousand, four hundred ninety-six".