287639838720 has 1344 divisors, whose sum is σ = 1180047830400. Its totient is φ = 67077144576.

The previous prime is 287639838719. The next prime is 287639838769. The reversal of 287639838720 is 27838936782.

It is a super-2 number, since 2×287639838720² (a number of 24 digits) contains 22 as substring.

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, 15138938871 + ... + 15138938889.

Almost surely, 2^287639838720 is an apocalyptic number.

287639838720 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 287639838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590023915200).

287639838720 is an abundant number, since it is smaller than the sum of its proper divisors (892407991680).

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

287639838720 is an frugal number, since it uses more digits than its factorization.

287639838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 287639838720 in words is "two hundred eighty-seven billion, six hundred thirty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".