25715320848000 has 384 divisors, whose sum is σ = 105543028131840. Its totient is φ = 5877787392000.

The previous prime is 25715320847959. The next prime is 25715320848017. The reversal of 25715320848000 is 84802351752.

25715320848000 is a `hidden beast` number, since 2 + 5 + 71 + 532 + 0 + 8 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×25715320848000² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11747616 + ... + 13763615.

It is an arithmetic number, because the mean of its divisors is an integer number (274851635760).

Almost surely, 2^{25715320848000} is an apocalyptic number.

25715320848000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25715320848000 is an abundant number, since it is smaller than the sum of its proper divisors (79827707283840).

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

25715320848000 is a wasteful number, since it uses less digits than its factorization.

25715320848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25511273 (or 25511248 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 25715320848000 in words is "twenty-five trillion, seven hundred fifteen billion, three hundred twenty million, eight hundred forty-eight thousand".