25632434160 has 240 divisors, whose sum is σ = 91124748000. Its totient is φ = 6445910016.

The previous prime is 25632434153. The next prime is 25632434207. The reversal of 25632434160 is 6143423652.

25632434160 is a `hidden beast` number, since 2 + 5 + 63 + 2 + 434 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 883566 + ... + 912114.

It is an arithmetic number, because the mean of its divisors is an integer number (379686450).

Almost surely, 2^25632434160 is an apocalyptic number.

25632434160 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 25632434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45562374000).

25632434160 is an abundant number, since it is smaller than the sum of its proper divisors (65492313840).

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

25632434160 is a wasteful number, since it uses less digits than its factorization.

25632434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28640 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 25632434160 in words is "twenty-five billion, six hundred thirty-two million, four hundred thirty-four thousand, one hundred sixty".