288132378660 has 240 divisors, whose sum is σ = 1066332072960. Its totient is φ = 63734273280.

The previous prime is 288132378659. The next prime is 288132378727. The reversal of 288132378660 is 66873231882.

288132378660 is a `hidden beast` number, since 2 + 88 + 132 + 378 + 6 + 60 = 666.

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 = 288132378597 and 288132378606.

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 79 ways as a sum of consecutive naturals, for example, 58275 + ... + 761354.

It is an arithmetic number, because the mean of its divisors is an integer number (4443050304).

Almost surely, 2^288132378660 is an apocalyptic number.

288132378660 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 288132378660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533166036480).

288132378660 is an abundant number, since it is smaller than the sum of its proper divisors (778199694300).

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

288132378660 is a wasteful number, since it uses less digits than its factorization.

288132378660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819688 (or 819677 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 288132378660 in words is "two hundred eighty-eight billion, one hundred thirty-two million, three hundred seventy-eight thousand, six hundred sixty".