25225152699840 has 224 divisors, whose sum is σ = 81421775297856. Its totient is φ = 6614891888640.

The previous prime is 25225152699833. The next prime is 25225152699889. The reversal of 25225152699840 is 4899625152252.

It is a super-2 number, since 2×25225152699840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263062144 + ... + 263158016.

It is an arithmetic number, because the mean of its divisors is an integer number (363490068294).

Almost surely, 2^{25225152699840} is an apocalyptic number.

25225152699840 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 25225152699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40710887648928).

25225152699840 is an abundant number, since it is smaller than the sum of its proper divisors (56196622598016).

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

25225152699840 is a wasteful number, since it uses less digits than its factorization.

25225152699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100447 (or 100437 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 25225152699840 in words is "twenty-five trillion, two hundred twenty-five billion, one hundred fifty-two million, six hundred ninety-nine thousand, eight hundred forty".