288978102060 has 384 divisors, whose sum is σ = 885961359360. Its totient is φ = 70195507200.

The previous prime is 288978102053. The next prime is 288978102073. The reversal of 288978102060 is 60201879882.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 288978101994 and 288978102012.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 774740034 + ... + 774740406.

It is an arithmetic number, because the mean of its divisors is an integer number (2307191040).

Almost surely, 2^288978102060 is an apocalyptic number.

288978102060 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 288978102060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442980679680).

288978102060 is an abundant number, since it is smaller than the sum of its proper divisors (596983257300).

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

288978102060 is a wasteful number, since it uses less digits than its factorization.

288978102060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 288978102060 in words is "two hundred eighty-eight billion, nine hundred seventy-eight million, one hundred two thousand, sixty".