9869126400 has 864 divisors, whose sum is σ = 42580608000. Its totient is φ = 2189721600.

The previous prime is 9869126369. The next prime is 9869126459. The reversal of 9869126400 is 46219689.

It is a happy number.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49593501 + ... + 49593699.

Almost surely, 2^9869126400 is an apocalyptic number.

9869126400 is a gapful number since it is divisible by the number (90) 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 9869126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21290304000).

9869126400 is an abundant number, since it is smaller than the sum of its proper divisors (32711481600).

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

9869126400 is a wasteful number, since it uses less digits than its factorization.

9869126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9869126400 is about 99343.4768870106. The cubic root of 9869126400 is about 2144.9947674575.

The spelling of 9869126400 in words is "nine billion, eight hundred sixty-nine million, one hundred twenty-six thousand, four hundred".