10459728000 has 384 divisors, whose sum is σ = 39550867200. Its totient is φ = 2641766400.

The previous prime is 10459727951. The next prime is 10459728017. The reversal of 10459728000 is 82795401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2734089 + ... + 2737911.

It is an arithmetic number, because the mean of its divisors is an integer number (102997050).

Almost surely, 2^10459728000 is an apocalyptic number.

10459728000 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 10459728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775433600).

10459728000 is an abundant number, since it is smaller than the sum of its proper divisors (29091139200).

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

10459728000 is a wasteful number, since it uses less digits than its factorization.

10459728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10459728000 in words is "ten billion, four hundred fifty-nine million, seven hundred twenty-eight thousand".