288138708000 has 1344 divisors, whose sum is σ = 1248822417024. Its totient is φ = 64385280000.

The previous prime is 288138707963. The next prime is 288138708031. The reversal of 288138708000 is 807831882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 416987655 + ... + 416988345.

It is an arithmetic number, because the mean of its divisors is an integer number (929183346).

Almost surely, 2^288138708000 is an apocalyptic number.

288138708000 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 288138708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624411208512).

288138708000 is an abundant number, since it is smaller than the sum of its proper divisors (960683709024).

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

288138708000 is a wasteful number, since it uses less digits than its factorization.

288138708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 288138708000 in words is "two hundred eighty-eight billion, one hundred thirty-eight million, seven hundred eight thousand".