10094167200 has 432 divisors, whose sum is σ = 36506163456. Its totient is φ = 2420121600.

The previous prime is 10094167157. The next prime is 10094167217. The reversal of 10094167200 is 276149001.

It is a happy number.

It is a super-2 number, since 2×10094167200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 16629297 + ... + 16629903.

It is an arithmetic number, because the mean of its divisors is an integer number (84505008).

Almost surely, 2^10094167200 is an apocalyptic number.

10094167200 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 10094167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18253081728).

10094167200 is an abundant number, since it is smaller than the sum of its proper divisors (26411996256).

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

10094167200 is a wasteful number, since it uses less digits than its factorization.

10094167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 10094167200 in words is "ten billion, ninety-four million, one hundred sixty-seven thousand, two hundred".