9884251520 has 256 divisors, whose sum is σ = 29398178880. Its totient is φ = 3122135040.

The previous prime is 9884251519. The next prime is 9884251547. The reversal of 9884251520 is 251524889.

It is a super-2 number, since 2×9884251520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1552664 + ... + 1559016.

Almost surely, 2^9884251520 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 9884251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14699089440).

9884251520 is an abundant number, since it is smaller than the sum of its proper divisors (19513927360).

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

9884251520 is a wasteful number, since it uses less digits than its factorization.

9884251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 9884251520 is about 99419.5731232035. The cubic root of 9884251520 is about 2146.0899925116.

The spelling of 9884251520 in words is "nine billion, eight hundred eighty-four million, two hundred fifty-one thousand, five hundred twenty".