10260364800 has 960 divisors, whose sum is σ = 42622272000. Its totient is φ = 2167603200.

The previous prime is 10260364757. The next prime is 10260364801. The reversal of 10260364800 is 846306201.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10260364801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250252780 + ... + 250252820.

It is an arithmetic number, because the mean of its divisors is an integer number (44398200).

Almost surely, 2^10260364800 is an apocalyptic number.

10260364800 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 10260364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136000).

10260364800 is an abundant number, since it is smaller than the sum of its proper divisors (32361907200).

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

10260364800 is an equidigital number, since it uses as much as digits as its factorization.

10260364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10260364800 in words is "ten billion, two hundred sixty million, three hundred sixty-four thousand, eight hundred".