287662012878240 has 4608 divisors, whose sum is σ = 1458751704883200. Its totient is φ = 51555880304640.

The previous prime is 287662012878223. The next prime is 287662012878263. The reversal of 287662012878240 is 42878210266782.

287662012878240 is a `hidden beast` number, since 2 + 8 + 76 + 6 + 201 + 287 + 82 + 4 + 0 = 666.

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 767 ways as a sum of consecutive naturals, for example, 3940575518844 + ... + 3940575518916.

It is an arithmetic number, because the mean of its divisors is an integer number (316569380400).

Almost surely, 2^{287662012878240} is an apocalyptic number.

287662012878240 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 287662012878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729375852441600).

287662012878240 is an abundant number, since it is smaller than the sum of its proper divisors (1171089692004960).

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

287662012878240 is an equidigital number, since it uses as much as digits as its factorization.

287662012878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 287662012878240 in words is "two hundred eighty-seven trillion, six hundred sixty-two billion, twelve million, eight hundred seventy-eight thousand, two hundred forty".