10009802400 has 864 divisors, whose sum is σ = 39113746560. Its totient is φ = 2214051840.

The previous prime is 10009802399. The next prime is 10009802449. The reversal of 10009802400 is 420890001.

It is a Cunningham number, because it is equal to 100049²-1.

It is a super-2 number, since 2×10009802400² (a number of 21 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 270535182 + ... + 270535218.

It is an arithmetic number, because the mean of its divisors is an integer number (45270540).

Almost surely, 2^10009802400 is an apocalyptic number.

10009802400 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 10009802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19556873280).

10009802400 is an abundant number, since it is smaller than the sum of its proper divisors (29103944160).

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

10009802400 is a wasteful number, since it uses less digits than its factorization.

10009802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10009802400 in words is "ten billion, nine million, eight hundred two thousand, four hundred".