288920426817200 has 120 divisors (see below), whose sum is σ = 695740513267632. Its totient is φ = 115300317634560.

The previous prime is 288920426817199. The next prime is 288920426817223. The reversal of 288920426817200 is 2718624029882.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 288920426817200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465409027 + ... + 1465606173.

Almost surely, 2^{288920426817200} is an apocalyptic number.

288920426817200 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 288920426817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347870256633816).

288920426817200 is an abundant number, since it is smaller than the sum of its proper divisors (406820086450432).

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

288920426817200 is a wasteful number, since it uses less digits than its factorization.

288920426817200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205639 (or 205628 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 288920426817200 in words is "two hundred eighty-eight trillion, nine hundred twenty billion, four hundred twenty-six million, eight hundred seventeen thousand, two hundred".