287725760000 has 200 divisors, whose sum is σ = 821014378800. Its totient is φ = 98648064000.

The previous prime is 287725759921. The next prime is 287725760017. The reversal of 287725760000 is 67527782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×287725760000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2175776 + ... + 2304224.

It is an arithmetic number, because the mean of its divisors is an integer number (4105071894).

Almost surely, 2^287725760000 is an apocalyptic number.

287725760000 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 287725760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410507189400).

287725760000 is an abundant number, since it is smaller than the sum of its proper divisors (533288618800).

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

287725760000 is an frugal number, since it uses more digits than its factorization.

287725760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128494 (or 128463 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 287725760000 in words is "two hundred eighty-seven billion, seven hundred twenty-five million, seven hundred sixty thousand".