288040596480 has 1056 divisors, whose sum is σ = 1282759591680. Its totient is φ = 60754821120.

The previous prime is 288040596479. The next prime is 288040596541. The reversal of 288040596480 is 84695040882.

288040596480 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 4 + 0 + 596 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88057245 + ... + 88060515.

Almost surely, 2^288040596480 is an apocalyptic number.

288040596480 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 288040596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641379795840).

288040596480 is an abundant number, since it is smaller than the sum of its proper divisors (994718995200).

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

288040596480 is a wasteful number, since it uses less digits than its factorization.

288040596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3301 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 288040596480 in words is "two hundred eighty-eight billion, forty million, five hundred ninety-six thousand, four hundred eighty".