287480977920 has 960 divisors, whose sum is σ = 1100314575360. Its totient is φ = 69066031104.

The previous prime is 287480977909. The next prime is 287480977951. The reversal of 287480977920 is 29779084782.

287480977920 is a `hidden beast` number, since 2 + 87 + 480 + 9 + 7 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1202849161 + ... + 1202849399.

It is an arithmetic number, because the mean of its divisors is an integer number (1146161016).

Almost surely, 2^287480977920 is an apocalyptic number.

287480977920 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 287480977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550157287680).

287480977920 is an abundant number, since it is smaller than the sum of its proper divisors (812833597440).

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

287480977920 is a wasteful number, since it uses less digits than its factorization.

287480977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 287480977920 in words is "two hundred eighty-seven billion, four hundred eighty million, nine hundred seventy-seven thousand, nine hundred twenty".