25652824637440 has 1152 divisors, whose sum is σ = 84885728578560. Its totient is φ = 7223598120960.

The previous prime is 25652824637417. The next prime is 25652824637449. The reversal of 25652824637440 is 4473642825652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25652824637449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545804779497 + ... + 545804779543.

It is an arithmetic number, because the mean of its divisors is an integer number (73685528280).

Almost surely, 2^{25652824637440} is an apocalyptic number.

25652824637440 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 25652824637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42442864289280).

25652824637440 is an abundant number, since it is smaller than the sum of its proper divisors (59232903941120).

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

25652824637440 is an frugal number, since it uses more digits than its factorization.

25652824637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 58.

The spelling of 25652824637440 in words is "twenty-five trillion, six hundred fifty-two billion, eight hundred twenty-four million, six hundred thirty-seven thousand, four hundred forty".