249825772128 has 96 divisors (see below), whose sum is σ = 667773517824. Its totient is φ = 81767411712.

The previous prime is 249825772127. The next prime is 249825772129. The reversal of 249825772128 is 821277528942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (249825772127) and next prime (249825772129).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249825772127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077001 + ... + 1288247.

It is an arithmetic number, because the mean of its divisors is an integer number (6955974144).

Almost surely, 2^249825772128 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 249825772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333886758912).

249825772128 is an abundant number, since it is smaller than the sum of its proper divisors (417947745696).

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

249825772128 is a wasteful number, since it uses less digits than its factorization.

249825772128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211484 (or 211476 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 249825772128 in words is "two hundred forty-nine billion, eight hundred twenty-five million, seven hundred seventy-two thousand, one hundred twenty-eight".