287781161920 has 112 divisors (see below), whose sum is σ = 786454225920. Its totient is φ = 98254808064.

The previous prime is 287781161911. The next prime is 287781161933. The reversal of 287781161920 is 29161187782.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266587 + ... + 804133.

Almost surely, 2^287781161920 is an apocalyptic number.

287781161920 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 287781161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393227112960).

287781161920 is an abundant number, since it is smaller than the sum of its proper divisors (498673064000).

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

287781161920 is a wasteful number, since it uses less digits than its factorization.

287781161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537810 (or 537800 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 52.

The spelling of 287781161920 in words is "two hundred eighty-seven billion, seven hundred eighty-one million, one hundred sixty-one thousand, nine hundred twenty".