10006522800 has 120 divisors (see below), whose sum is σ = 32106702480. Its totient is φ = 2664038400.

The previous prime is 10006522753. The next prime is 10006522817. The reversal of 10006522800 is 822560001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762696 + ... + 775704.

It is an arithmetic number, because the mean of its divisors is an integer number (267555854).

Almost surely, 2^10006522800 is an apocalyptic number.

10006522800 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 10006522800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053351240).

10006522800 is an abundant number, since it is smaller than the sum of its proper divisors (22100179680).

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

10006522800 is a wasteful number, since it uses less digits than its factorization.

10006522800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13671 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10006522800 in words is "ten billion, six million, five hundred twenty-two thousand, eight hundred".