287985559680 has 3072 divisors, whose sum is σ = 1441685952000. Its totient is φ = 54177693696.

The previous prime is 287985559657. The next prime is 287985559717. The reversal of 287985559680 is 86955589782.

287985559680 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 8 + 5 + 559 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 287985559599 and 287985559608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15157134711 + ... + 15157134729.

Almost surely, 2^287985559680 is an apocalyptic number.

287985559680 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 287985559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720842976000).

287985559680 is an abundant number, since it is smaller than the sum of its proper divisors (1153700392320).

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

287985559680 is a wasteful number, since it uses less digits than its factorization.

287985559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 72.

The spelling of 287985559680 in words is "two hundred eighty-seven billion, nine hundred eighty-five million, five hundred fifty-nine thousand, six hundred eighty".