10110241988352 has 864 divisors, whose sum is σ = 34730941593600. Its totient is φ = 2892975022080.

The previous prime is 10110241988317. The next prime is 10110241988381. The reversal of 10110241988352 is 25388914201101.

10110241988352 is a `hidden beast` number, since 1 + 0 + 1 + 102 + 4 + 198 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 10110241988298 and 10110241988307.

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, 1519648258 + ... + 1519654910.

Almost surely, 2^{10110241988352} is an apocalyptic number.

10110241988352 is a gapful number since it is divisible by the number (12) 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 10110241988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365470796800).

10110241988352 is an abundant number, since it is smaller than the sum of its proper divisors (24620699605248).

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

10110241988352 is a wasteful number, since it uses less digits than its factorization.

10110241988352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10110241988352 in words is "ten trillion, one hundred ten billion, two hundred forty-one million, nine hundred eighty-eight thousand, three hundred fifty-two".