288860520003120 has 120 divisors (see below), whose sum is σ = 1044712214045136. Its totient is φ = 71104127998464.

The previous prime is 288860520003119. The next prime is 288860520003157. The reversal of 288860520003120 is 21300025068882.

288860520003120 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 605 + 2 + 0 + 0 + 0 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 15430573974 + ... + 15430592693.

Almost surely, 2^{288860520003120} is an apocalyptic number.

288860520003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288860520003120 is an abundant number, since it is smaller than the sum of its proper divisors (755851694042016).

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

288860520003120 is a wasteful number, since it uses less digits than its factorization.

288860520003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30861166699 (or 30861166690 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 288860520003120 in words is "two hundred eighty-eight trillion, eight hundred sixty billion, five hundred twenty million, three thousand, one hundred twenty".