10862788608 has 272 divisors, whose sum is σ = 36825708160. Its totient is φ = 3100114944.

The previous prime is 10862788589. The next prime is 10862788619. The reversal of 10862788608 is 80688726801.

10862788608 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 27 + 8 + 8 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385866 + ... + 12386742.

Almost surely, 2^10862788608 is an apocalyptic number.

10862788608 is a gapful number since it is divisible by the number (18) 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 10862788608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18412854080).

10862788608 is an abundant number, since it is smaller than the sum of its proper divisors (25962919552).

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

10862788608 is an frugal number, since it uses more digits than its factorization.

10862788608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 10862788608 in words is "ten billion, eight hundred sixty-two million, seven hundred eighty-eight thousand, six hundred eight".