10276044800 has 216 divisors, whose sum is σ = 29645338905. Its totient is φ = 3523215360.

The previous prime is 10276044773. The next prime is 10276044839. The reversal of 10276044800 is 844067201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10070523904 + 205520896 = 100352^2 + 14336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71680.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1468006397 + ... + 1468006403.

Almost surely, 2^10276044800 is an apocalyptic number.

10276044800 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 10276044800

10276044800 is an abundant number, since it is smaller than the sum of its proper divisors (19369294105).

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

10276044800 is an frugal number, since it uses more digits than its factorization.

10276044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Multiplying 10276044800 by its sum of digits (32), we get a square (328833433600 = 573440²).

10276044800 divided by its sum of digits (32) gives a square (321126400 = 17920²).

The spelling of 10276044800 in words is "ten billion, two hundred seventy-six million, forty-four thousand, eight hundred".