10109865888360 has 288 divisors, whose sum is σ = 38559733584840. Its totient is φ = 2290376245248.

The previous prime is 10109865888341. The next prime is 10109865888413. The reversal of 10109865888360 is 6388856890101.

10109865888360 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 8 + 6 + 588 + 8 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7017550672356 + 3092315216004 = 2649066^2 + 1758498^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 542617 + ... + 4529256.

Almost surely, 2^{10109865888360} is an apocalyptic number.

10109865888360 is a gapful number since it is divisible by the number (10) 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 10109865888360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19279866792420).

10109865888360 is an abundant number, since it is smaller than the sum of its proper divisors (28449867696480).

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

10109865888360 is a wasteful number, since it uses less digits than its factorization.

10109865888360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072017 (or 5072003 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 10109865888360 in words is "ten trillion, one hundred nine billion, eight hundred sixty-five million, eight hundred eighty-eight thousand, three hundred sixty".