288125300400 has 480 divisors, whose sum is σ = 1066269754368. Its totient is φ = 65146368000.

The previous prime is 288125300389. The next prime is 288125300429. The reversal of 288125300400 is 4003521882.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 411020050 + ... + 411020750.

Almost surely, 2^288125300400 is an apocalyptic number.

288125300400 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 288125300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533134877184).

288125300400 is an abundant number, since it is smaller than the sum of its proper divisors (778144453968).

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

288125300400 is a wasteful number, since it uses less digits than its factorization.

288125300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 288125300400 in words is "two hundred eighty-eight billion, one hundred twenty-five million, three hundred thousand, four hundred".