25020632448 has 576 divisors, whose sum is σ = 90471654000. Its totient is φ = 6595706880.

The previous prime is 25020632437. The next prime is 25020632479. The reversal of 25020632448 is 84423602052.

25020632448 is a `hidden beast` number, since 2 + 5 + 0 + 206 + 3 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43972708 + ... + 43973276.

Almost surely, 2^25020632448 is an apocalyptic number.

25020632448 is a gapful number since it is divisible by the number (28) 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 25020632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45235827000).

25020632448 is an abundant number, since it is smaller than the sum of its proper divisors (65451021552).

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

25020632448 is a wasteful number, since it uses less digits than its factorization.

25020632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25020632448 in words is "twenty-five billion, twenty million, six hundred thirty-two thousand, four hundred forty-eight".