287116980480 has 864 divisors, whose sum is σ = 1160522108928. Its totient is φ = 67333939200.

The previous prime is 287116980463. The next prime is 287116980497. The reversal of 287116980480 is 84089611782.

287116980480 is a `hidden beast` number, since 2 + 8 + 71 + 1 + 6 + 98 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (287116980463) and next prime (287116980497).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 106063287 + ... + 106065993.

Almost surely, 2^287116980480 is an apocalyptic number.

287116980480 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 287116980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580261054464).

287116980480 is an abundant number, since it is smaller than the sum of its proper divisors (873405128448).

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

287116980480 is a wasteful number, since it uses less digits than its factorization.

287116980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 287116980480 in words is "two hundred eighty-seven billion, one hundred sixteen million, nine hundred eighty thousand, four hundred eighty".