25320627216000 has 768 divisors, whose sum is σ = 94537080892800. Its totient is φ = 6735235276800.

The previous prime is 25320627215999. The next prime is 25320627216007. The reversal of 25320627216000 is 61272602352.

25320627216000 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 0 + 6 + 27 + 21 + 600 + 0 = 666.

It is a super-2 number, since 2×25320627216000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25320627216007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1590184039 + ... + 1590199961.

Almost surely, 2^{25320627216000} is an apocalyptic number.

25320627216000 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 25320627216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47268540446400).

25320627216000 is an abundant number, since it is smaller than the sum of its proper divisors (69216453676800).

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

25320627216000 is an equidigital number, since it uses as much as digits as its factorization.

25320627216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376 (or 16342 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 25320627216000 its reverse (61272602352), we get a palindrome (25381899818352).

The spelling of 25320627216000 in words is "twenty-five trillion, three hundred twenty billion, six hundred twenty-seven million, two hundred sixteen thousand".