9385252800 has 672 divisors, whose sum is σ = 39065118720. Its totient is φ = 1916006400.

The previous prime is 9385252771. The next prime is 9385252813. The reversal of 9385252800 is 82525839.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24763011 + ... + 24763389.

Almost surely, 2^9385252800 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 9385252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532559360).

9385252800 is an abundant number, since it is smaller than the sum of its proper divisors (29679865920).

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

9385252800 is a wasteful number, since it uses less digits than its factorization.

9385252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 9385252800 is about 96877.5144189817. The cubic root of 9385252800 is about 2109.3500540040.

The spelling of 9385252800 in words is "nine billion, three hundred eighty-five million, two hundred fifty-two thousand, eight hundred".