25168740940800 has 792 divisors, whose sum is σ = 95443113083136. Its totient is φ = 6568786575360.

The previous prime is 25168740940793. The next prime is 25168740940817. The reversal of 25168740940800 is 804904786152.

It is a happy number.

25168740940800 is a `hidden beast` number, since 2 + 5 + 168 + 74 + 0 + 9 + 408 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 292334559 + ... + 292420641.

Almost surely, 2^{25168740940800} is an apocalyptic number.

25168740940800 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 25168740940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47721556541568).

25168740940800 is an abundant number, since it is smaller than the sum of its proper divisors (70274372142336).

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

25168740940800 is an equidigital number, since it uses as much as digits as its factorization.

25168740940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86175 (or 86140 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 25168740940800 in words is "twenty-five trillion, one hundred sixty-eight billion, seven hundred forty million, nine hundred forty thousand, eight hundred".