287065652160 has 224 divisors, whose sum is σ = 1046314708992. Its totient is φ = 65320427520.

The previous prime is 287065652123. The next prime is 287065652179. The reversal of 287065652160 is 61256560782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×287065652160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402780 + ... + 1594340.

It is an arithmetic number, because the mean of its divisors is an integer number (4671047808).

Almost surely, 2^287065652160 is an apocalyptic number.

287065652160 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 287065652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523157354496).

287065652160 is an abundant number, since it is smaller than the sum of its proper divisors (759249056832).

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

287065652160 is a wasteful number, since it uses less digits than its factorization.

287065652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191811 (or 191801 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 287065652160 in words is "two hundred eighty-seven billion, sixty-five million, six hundred fifty-two thousand, one hundred sixty".