25824053376 has 384 divisors, whose sum is σ = 85861152000. Its totient is φ = 7367915520.

The previous prime is 25824053327. The next prime is 25824053417. The reversal of 25824053376 is 67335042852.

25824053376 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 40 + 533 + 76 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68137155 + ... + 68137533.

It is an arithmetic number, because the mean of its divisors is an integer number (223596750).

Almost surely, 2^25824053376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25824053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42930576000).

25824053376 is an abundant number, since it is smaller than the sum of its proper divisors (60037098624).

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

25824053376 is a wasteful number, since it uses less digits than its factorization.

25824053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 25824053376 in words is "twenty-five billion, eight hundred twenty-four million, fifty-three thousand, three hundred seventy-six".