10009850400 has 864 divisors, whose sum is σ = 41493344256. Its totient is φ = 2332800000.

The previous prime is 10009850377. The next prime is 10009850407. The reversal of 10009850400 is 405890001.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10009850407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66290325 + ... + 66290475.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^10009850400 is an apocalyptic number.

10009850400 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 10009850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746672128).

10009850400 is an abundant number, since it is smaller than the sum of its proper divisors (31483493856).

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

10009850400 is a wasteful number, since it uses less digits than its factorization.

10009850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10009850400 in words is "ten billion, nine million, eight hundred fifty thousand, four hundred".