288120639090000 has 400 divisors, whose sum is σ = 933837772057344. Its totient is φ = 76522924800000.

The previous prime is 288120639089993. The next prime is 288120639090001. The reversal of 288120639090000 is 90936021882.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288120639090001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46674326914 + ... + 46674333086.

Almost surely, 2^{288120639090000} is an apocalyptic number.

288120639090000 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 288120639090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466918886028672).

288120639090000 is an abundant number, since it is smaller than the sum of its proper divisors (645717132967344).

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

288120639090000 is a wasteful number, since it uses less digits than its factorization.

288120639090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 288120639090000 in words is "two hundred eighty-eight trillion, one hundred twenty billion, six hundred thirty-nine million, ninety thousand".