10069222800 has 720 divisors, whose sum is σ = 41126617728. Its totient is φ = 2060697600.

The previous prime is 10069222783. The next prime is 10069222829. The reversal of 10069222800 is 822296001.

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

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, 58203514 + ... + 58203686.

Almost surely, 2^10069222800 is an apocalyptic number.

10069222800 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 10069222800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563308864).

10069222800 is an abundant number, since it is smaller than the sum of its proper divisors (31057394928).

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

10069222800 is a wasteful number, since it uses less digits than its factorization.

10069222800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 10069222800 in words is "ten billion, sixty-nine million, two hundred twenty-two thousand, eight hundred".