25126206013440 has 960 divisors, whose sum is σ = 104790496456800. Its totient is φ = 5742984167424.

The previous prime is 25126206013439. The next prime is 25126206013453. The reversal of 25126206013440 is 4431060262152.

25126206013440 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 6 + 2 + 0 + 601 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 25126206013395 and 25126206013404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650261641 + ... + 650300279.

Almost surely, 2^{25126206013440} is an apocalyptic number.

25126206013440 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 25126206013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52395248228400).

25126206013440 is an abundant number, since it is smaller than the sum of its proper divisors (79664290443360).

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

25126206013440 is an frugal number, since it uses more digits than its factorization.

25126206013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38700 (or 38656 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 25126206013440 its reverse (4431060262152), we get a palindrome (29557266275592).

The spelling of 25126206013440 in words is "twenty-five trillion, one hundred twenty-six billion, two hundred six million, thirteen thousand, four hundred forty".