10002679200 has 288 divisors, whose sum is σ = 38081937600. Its totient is φ = 2526888960.

The previous prime is 10002679199. The next prime is 10002679237. The reversal of 10002679200 is 297620001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10002679200² (a number of 21 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 398214 + ... + 422586.

It is an arithmetic number, because the mean of its divisors is an integer number (132228950).

Almost surely, 2^10002679200 is an apocalyptic number.

10002679200 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 10002679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040968800).

10002679200 is an abundant number, since it is smaller than the sum of its proper divisors (28079258400).

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

10002679200 is a wasteful number, since it uses less digits than its factorization.

10002679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24421 (or 24402 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10002679200 in words is "ten billion, two million, six hundred seventy-nine thousand, two hundred".