287861882880 has 480 divisors, whose sum is σ = 1082298728448. Its totient is φ = 64408780800.

The previous prime is 287861882863. The next prime is 287861882887. The reversal of 287861882880 is 88288168782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287861882887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35139585 + ... + 35147775.

Almost surely, 2^287861882880 is an apocalyptic number.

287861882880 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 287861882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541149364224).

287861882880 is an abundant number, since it is smaller than the sum of its proper divisors (794436845568).

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

287861882880 is a wasteful number, since it uses less digits than its factorization.

287861882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 66.

The spelling of 287861882880 in words is "two hundred eighty-seven billion, eight hundred sixty-one million, eight hundred eighty-two thousand, eight hundred eighty".