287937538560 has 640 divisors, whose sum is σ = 1209254745600. Its totient is φ = 63541739520.

The previous prime is 287937538547. The next prime is 287937538571. The reversal of 287937538560 is 65835739782.

287937538560 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 37 + 5 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×287937538560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 14021100 + ... + 14041620.

It is an arithmetic number, because the mean of its divisors is an integer number (1889460540).

Almost surely, 2^287937538560 is an apocalyptic number.

287937538560 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 287937538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604627372800).

287937538560 is an abundant number, since it is smaller than the sum of its proper divisors (921317207040).

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

287937538560 is a wasteful number, since it uses less digits than its factorization.

287937538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20589 (or 20567 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 287937538560 in words is "two hundred eighty-seven billion, nine hundred thirty-seven million, five hundred thirty-eight thousand, five hundred sixty".