288425251600 has 120 divisors (see below), whose sum is σ = 730944288000. Its totient is φ = 109068433920.

The previous prime is 288425251561. The next prime is 288425251603. The reversal of 288425251600 is 6152524882.

It is not an unprimeable number, because it can be changed into a prime (288425251603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3600786 + ... + 3680014.

It is an arithmetic number, because the mean of its divisors is an integer number (6091202400).

Almost surely, 2^288425251600 is an apocalyptic number.

288425251600 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 288425251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365472144000).

288425251600 is an abundant number, since it is smaller than the sum of its proper divisors (442519036400).

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

288425251600 is a wasteful number, since it uses less digits than its factorization.

288425251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79745 (or 79734 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 288425251600 in words is "two hundred eighty-eight billion, four hundred twenty-five million, two hundred fifty-one thousand, six hundred".