25318320048000 has 1536 divisors, whose sum is σ = 110473515360000. Its totient is φ = 5424493363200.

The previous prime is 25318320047989. The next prime is 25318320048023. The reversal of 25318320048000 is 84002381352.

25318320048000 is a `hidden beast` number, since 2 + 531 + 83 + 2 + 0 + 0 + 48 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4403949126 + ... + 4403954874.

Almost surely, 2^{25318320048000} is an apocalyptic number.

25318320048000 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 25318320048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55236757680000).

25318320048000 is an abundant number, since it is smaller than the sum of its proper divisors (85155195312000).

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

25318320048000 is a wasteful number, since it uses less digits than its factorization.

25318320048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25318320048000 in words is "twenty-five trillion, three hundred eighteen billion, three hundred twenty million, forty-eight thousand".