9887896811520 has 1728 divisors, whose sum is σ = 43940855518560. Its totient is φ = 2037200191488.

The previous prime is 9887896811467. The next prime is 9887896811549. The reversal of 9887896811520 is 251186987889.

9887896811520 is a `hidden beast` number, since 9 + 8 + 8 + 7 + 8 + 96 + 8 + 1 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2524352602 + ... + 2524356518.

Almost surely, 2^{9887896811520} is an apocalyptic number.

9887896811520 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 9887896811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21970427759280).

9887896811520 is an abundant number, since it is smaller than the sum of its proper divisors (34052958707040).

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

9887896811520 is a wasteful number, since it uses less digits than its factorization.

9887896811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 9887896811520 in words is "nine trillion, eight hundred eighty-seven billion, eight hundred ninety-six million, eight hundred eleven thousand, five hundred twenty".