9982368087552 has 1120 divisors, whose sum is σ = 36243017631744. Its totient is φ = 2684698214400.

The previous prime is 9982368087533. The next prime is 9982368087613. The reversal of 9982368087552 is 2557808632899.

9982368087552 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 3 + 68 + 0 + 8 + 7 + 552 = 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2996806527 + ... + 2996809857.

Almost surely, 2^{9982368087552} 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 9982368087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18121508815872).

9982368087552 is an abundant number, since it is smaller than the sum of its proper divisors (26260649544192).

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

9982368087552 is an equidigital number, since it uses as much as digits as its factorization.

9982368087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3442 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 9982368087552 in words is "nine trillion, nine hundred eighty-two billion, three hundred sixty-eight million, eighty-seven thousand, five hundred fifty-two".