288830961216000 has 1600 divisors, whose sum is σ = 1231069206242304. Its totient is φ = 65938489344000.

The previous prime is 288830961215983. The next prime is 288830961216029. The reversal of 288830961216000 is 612169038882.

288830961216000 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 3 + 0 + 9 + 6 + 1 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33058363632 + ... + 33058372368.

Almost surely, 2^{288830961216000} is an apocalyptic number.

288830961216000 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 288830961216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615534603121152).

288830961216000 is an abundant number, since it is smaller than the sum of its proper divisors (942238245026304).

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

288830961216000 is an frugal number, since it uses more digits than its factorization.

288830961216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 288830961216000 in words is "two hundred eighty-eight trillion, eight hundred thirty billion, nine hundred sixty-one million, two hundred sixteen thousand".