25422729216000 has 512 divisors, whose sum is σ = 85101716793600. Its totient is φ = 6739643596800.

The previous prime is 25422729215969. The next prime is 25422729216061. The reversal of 25422729216000 is 61292722452.

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125818021 + ... + 2125829979.

Almost surely, 2^{25422729216000} is an apocalyptic number.

25422729216000 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 25422729216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42550858396800).

25422729216000 is an abundant number, since it is smaller than the sum of its proper divisors (59678987577600).

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

25422729216000 is an equidigital number, since it uses as much as digits as its factorization.

25422729216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 25422729216000 in words is "twenty-five trillion, four hundred twenty-two billion, seven hundred twenty-nine million, two hundred sixteen thousand".