25290641716812 has 576 divisors, whose sum is σ = 71372152750080. Its totient is φ = 7807936840704.

The previous prime is 25290641716801. The next prime is 25290641716849. The reversal of 25290641716812 is 21861714609252.

25290641716812 is a `hidden beast` number, since 2 + 52 + 9 + 0 + 6 + 417 + 168 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63704386998 + ... + 63704387394.

Almost surely, 2^{25290641716812} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25290641716812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686076375040).

25290641716812 is an abundant number, since it is smaller than the sum of its proper divisors (46081511033268).

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

25290641716812 is a wasteful number, since it uses less digits than its factorization.

25290641716812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 25290641716812 in words is "twenty-five trillion, two hundred ninety billion, six hundred forty-one million, seven hundred sixteen thousand, eight hundred twelve".