10675728000 has 1152 divisors, whose sum is σ = 47752707600. Its totient is φ = 2270822400.

The previous prime is 10675727989. The next prime is 10675728071. The reversal of 10675728000 is 82757601.

10675728000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 572 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 276623424 + 10399104576 = 16632^2 + 101976^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10675728000² (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 143 ways as a sum of consecutive naturals, for example, 119951956 + ... + 119952044.

Almost surely, 2^10675728000 is an apocalyptic number.

10675728000 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 10675728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876353800).

10675728000 is an abundant number, since it is smaller than the sum of its proper divisors (37076979600).

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

10675728000 is a wasteful number, since it uses less digits than its factorization.

10675728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10675728000 in words is "ten billion, six hundred seventy-five million, seven hundred twenty-eight thousand".