9826252800 has 1152 divisors, whose sum is σ = 43222233600. Its totient is φ = 1911029760.

The previous prime is 9826252783. The next prime is 9826252853. The reversal of 9826252800 is 82526289.

9826252800 = T₈₅₈₁ + T₈₅₈₂ + ... + T₈₈₃₉.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 265574382 + ... + 265574418.

It is an arithmetic number, because the mean of its divisors is an integer number (37519300).

Almost surely, 2^9826252800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9826252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611116800).

9826252800 is an abundant number, since it is smaller than the sum of its proper divisors (33395980800).

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

9826252800 is a wasteful number, since it uses less digits than its factorization.

9826252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 9826252800 is about 99127.4573465899. The cubic root of 9826252800 is about 2141.8841530629.

The spelling of 9826252800 in words is "nine billion, eight hundred twenty-six million, two hundred fifty-two thousand, eight hundred".