288603120780 has 144 divisors (see below), whose sum is σ = 947980260864. Its totient is φ = 70648174080.

The previous prime is 288603120671. The next prime is 288603120781. The reversal of 288603120780 is 87021306882.

288603120780 is a `hidden beast` number, since 28 + 8 + 603 + 12 + 0 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×288603120780² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (288603120781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82837 + ... + 764243.

It is an arithmetic number, because the mean of its divisors is an integer number (6583196256).

Almost surely, 2^288603120780 is an apocalyptic number.

288603120780 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 288603120780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473990130432).

288603120780 is an abundant number, since it is smaller than the sum of its proper divisors (659377140084).

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

288603120780 is a wasteful number, since it uses less digits than its factorization.

288603120780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681616 (or 681611 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 288603120780 in words is "two hundred eighty-eight billion, six hundred three million, one hundred twenty thousand, seven hundred eighty".