25242491664000 has 576 divisors, whose sum is σ = 98161834095000. Its totient is φ = 6213530419200.

The previous prime is 25242491663999. The next prime is 25242491664001. The reversal of 25242491664000 is 46619424252.

It is a happy number.

25242491664000 is a `hidden beast` number, since 2 + 5 + 2 + 42 + 49 + 166 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25242491663999) and next prime (25242491664001).

It can be written as a sum of positive squares in 12 ways, for example, as 3853494633024 + 21388997030976 = 1963032^2 + 4624824^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (25242491664001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23817376 + ... + 24854624.

Almost surely, 2^{25242491664000} is an apocalyptic number.

25242491664000 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 25242491664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49080917047500).

25242491664000 is an abundant number, since it is smaller than the sum of its proper divisors (72919342431000).

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

25242491664000 is a wasteful number, since it uses less digits than its factorization.

25242491664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037310 (or 1037272 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25242491664000 in words is "twenty-five trillion, two hundred forty-two billion, four hundred ninety-one million, six hundred sixty-four thousand".