25633312696320 has 1536 divisors, whose sum is σ = 98636009472000. Its totient is φ = 5560624742400.

The previous prime is 25633312696267. The next prime is 25633312696399. The reversal of 25633312696320 is 2369621333652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130118338462 + ... + 130118338658.

It is an arithmetic number, because the mean of its divisors is an integer number (64216152000).

Almost surely, 2^{25633312696320} is an apocalyptic number.

25633312696320 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 25633312696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49318004736000).

25633312696320 is an abundant number, since it is smaller than the sum of its proper divisors (73002696775680).

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

25633312696320 is a wasteful number, since it uses less digits than its factorization.

25633312696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 51.

The spelling of 25633312696320 in words is "twenty-five trillion, six hundred thirty-three billion, three hundred twelve million, six hundred ninety-six thousand, three hundred twenty".