25436100864240 has 480 divisors, whose sum is σ = 99868446153216. Its totient is φ = 5738813245440.

The previous prime is 25436100864233. The next prime is 25436100864247. The reversal of 25436100864240 is 4246800163452.

25436100864240 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 610 + 0 + 8 + 6 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25436100864233) and next prime (25436100864247).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25436100864247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4852947 + ... + 8626893.

Almost surely, 2^{25436100864240} is an apocalyptic number.

25436100864240 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 25436100864240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49934223076608).

25436100864240 is an abundant number, since it is smaller than the sum of its proper divisors (74432345288976).

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

25436100864240 is a wasteful number, since it uses less digits than its factorization.

25436100864240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774037 (or 3774028 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 25436100864240 in words is "twenty-five trillion, four hundred thirty-six billion, one hundred million, eight hundred sixty-four thousand, two hundred forty".