25488767232 has 288 divisors, whose sum is σ = 78808464000. Its totient is φ = 8115609600.

The previous prime is 25488767231. The next prime is 25488767251. The reversal of 25488767232 is 23276788452.

25488767232 is a `hidden beast` number, since 2 + 548 + 8 + 7 + 67 + 2 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25488767231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20244619 + ... + 20245877.

It is an arithmetic number, because the mean of its divisors is an integer number (273640500).

Almost surely, 2^25488767232 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 25488767232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39404232000).

25488767232 is an abundant number, since it is smaller than the sum of its proper divisors (53319696768).

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

25488767232 is a wasteful number, since it uses less digits than its factorization.

25488767232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1394 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 25488767232 in words is "twenty-five billion, four hundred eighty-eight million, seven hundred sixty-seven thousand, two hundred thirty-two".