25443728640 has 1152 divisors, whose sum is σ = 108504023040. Its totient is φ = 5573836800.

The previous prime is 25443728561. The next prime is 25443728641. The reversal of 25443728640 is 4682734452.

It is a happy number.

25443728640 is a `hidden beast` number, since 25 + 443 + 72 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25443728641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200344257 + ... + 200344383.

It is an arithmetic number, because the mean of its divisors is an integer number (94187520).

Almost surely, 2^25443728640 is an apocalyptic number.

25443728640 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 25443728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54252011520).

25443728640 is an abundant number, since it is smaller than the sum of its proper divisors (83060294400).

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

25443728640 is a wasteful number, since it uses less digits than its factorization.

25443728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 25443728640 in words is "twenty-five billion, four hundred forty-three million, seven hundred twenty-eight thousand, six hundred forty".