10681459200 has 480 divisors, whose sum is σ = 40511454720. Its totient is φ = 2753740800.

The previous prime is 10681459199. The next prime is 10681459223. The reversal of 10681459200 is 295418601.

10681459200 is a `hidden beast` number, since 1 + 0 + 68 + 1 + 4 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10681459200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10713102 + ... + 10714098.

It is an arithmetic number, because the mean of its divisors is an integer number (84398864).

Almost surely, 2^10681459200 is an apocalyptic number.

10681459200 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 10681459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255727360).

10681459200 is an abundant number, since it is smaller than the sum of its proper divisors (29829995520).

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

10681459200 is an equidigital number, since it uses as much as digits as its factorization.

10681459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10681459200 in words is "ten billion, six hundred eighty-one million, four hundred fifty-nine thousand, two hundred".