25242624000000 has 1904 divisors, whose sum is σ = 103217091304320. Its totient is φ = 6045696000000.

The previous prime is 25242623999993. The next prime is 25242624000007. The reversal of 25242624000000 is 42624252.

It is a happy number.

25242624000000 is a `hidden beast` number, since 252 + 4 + 2 + 6 + 2 + 400 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25242623999993) and next prime (25242624000007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25242624000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 304127999959 + ... + 304128000041.

Almost surely, 2^{25242624000000} is an apocalyptic number.

25242624000000 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 25242624000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51608545652160).

25242624000000 is an abundant number, since it is smaller than the sum of its proper divisors (77974467304320).

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

25242624000000 is an frugal number, since it uses more digits than its factorization.

25242624000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 25242624000000 its reverse (42624252), we get a palindrome (25242666624252).

The spelling of 25242624000000 in words is "twenty-five trillion, two hundred forty-two billion, six hundred twenty-four million", and thus it is an aban number.