287489218560 has 768 divisors, whose sum is σ = 1003871232000. Its totient is φ = 70071091200.

The previous prime is 287489218537. The next prime is 287489218573. The reversal of 287489218560 is 65812984782.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 287489218494 and 287489218503.

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, 1444669341 + ... + 1444669539.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124000).

Almost surely, 2^287489218560 is an apocalyptic number.

287489218560 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 287489218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616000).

287489218560 is an abundant number, since it is smaller than the sum of its proper divisors (716382013440).

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

287489218560 is a wasteful number, since it uses less digits than its factorization.

287489218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 287489218560 in words is "two hundred eighty-seven billion, four hundred eighty-nine million, two hundred eighteen thousand, five hundred sixty".