287774378480 has 160 divisors (see below), whose sum is σ = 723821797440. Its totient is φ = 106044456960.

The previous prime is 287774378447. The next prime is 287774378509. The reversal of 287774378480 is 84873477782.

It is a super-2 number, since 2×287774378480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19498784 + ... + 19513536.

It is an arithmetic number, because the mean of its divisors is an integer number (4523886234).

Almost surely, 2^287774378480 is an apocalyptic number.

287774378480 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 287774378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361910898720).

287774378480 is an abundant number, since it is smaller than the sum of its proper divisors (436047418960).

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

287774378480 is a wasteful number, since it uses less digits than its factorization.

287774378480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15139 (or 15133 counting only the distinct ones).

The product of its (nonzero) digits is 118013952, while the sum is 65.

The spelling of 287774378480 in words is "two hundred eighty-seven billion, seven hundred seventy-four million, three hundred seventy-eight thousand, four hundred eighty".