287120640245760 has 1088 divisors, whose sum is σ = 1062223207464960. Its totient is φ = 73503300648960.

The previous prime is 287120640245749. The next prime is 287120640245773. The reversal of 287120640245760 is 67542046021782.

287120640245760 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 2 + 0 + 6 + 40 + 24 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 287120640245697 and 287120640245706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34832052199 + ... + 34832060441.

Almost surely, 2^{287120640245760} is an apocalyptic number.

287120640245760 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 287120640245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531111603732480).

287120640245760 is an abundant number, since it is smaller than the sum of its proper divisors (775102567219200).

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

287120640245760 is an equidigital number, since it uses as much as digits as its factorization.

287120640245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447 (or 8411 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 287120640245760 in words is "two hundred eighty-seven trillion, one hundred twenty billion, six hundred forty million, two hundred forty-five thousand, seven hundred sixty".