25121323825920 has 648 divisors, whose sum is σ = 104852514980304. Its totient is φ = 5742013390848.

The previous prime is 25121323825891. The next prime is 25121323825943. The reversal of 25121323825920 is 2952832312152.

25121323825920 is a `hidden beast` number, since 2 + 5 + 1 + 21 + 3 + 2 + 38 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 14416822 + ... + 16065098.

It is an arithmetic number, because the mean of its divisors is an integer number (161809436698).

Almost surely, 2^{25121323825920} is an apocalyptic number.

25121323825920 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 25121323825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52426257490152).

25121323825920 is an abundant number, since it is smaller than the sum of its proper divisors (79731191154384).

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

25121323825920 is an equidigital number, since it uses as much as digits as its factorization.

25121323825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648327 (or 1648294 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25121323825920 in words is "twenty-five trillion, one hundred twenty-one billion, three hundred twenty-three million, eight hundred twenty-five thousand, nine hundred twenty".