288150289056 has 360 divisors, whose sum is σ = 1019806007220. Its totient is φ = 79488718848.

The previous prime is 288150288971. The next prime is 288150289057. The reversal of 288150289056 is 650982051882.

It is a happy number.

288150289056 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 502 + 89 + 0 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258352624656 + 29797664400 = 508284^2 + 172620^2 .

It is a super-2 number, since 2×288150289056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 288150288993 and 288150289011.

It is not an unprimeable number, because it can be changed into a prime (288150289057) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3644116 + ... + 3722348.

Almost surely, 2^288150289056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288150289056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509903003610).

288150289056 is an abundant number, since it is smaller than the sum of its proper divisors (731655718164).

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

288150289056 is a wasteful number, since it uses less digits than its factorization.

288150289056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78298 (or 78274 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 288150289056 in words is "two hundred eighty-eight billion, one hundred fifty million, two hundred eighty-nine thousand, fifty-six".