9982151291700 has 2016 divisors, whose sum is σ = 41886544089600. Its totient is φ = 2052042854400.

The previous prime is 9982151291699. The next prime is 9982151291789. The reversal of 9982151291700 is 71921512899.

It is a happy number.

9982151291700 is a `hidden beast` number, since 9 + 98 + 21 + 512 + 9 + 17 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 671 ways as a sum of consecutive naturals, for example, 9776837190 + ... + 9776838210.

It is an arithmetic number, because the mean of its divisors is an integer number (20777055600).

Almost surely, 2^{9982151291700} is an apocalyptic number.

9982151291700 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 9982151291700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943272044800).

9982151291700 is an abundant number, since it is smaller than the sum of its proper divisors (31904392797900).

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

9982151291700 is a wasteful number, since it uses less digits than its factorization.

9982151291700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 9982151291700 in words is "nine trillion, nine hundred eighty-two billion, one hundred fifty-one million, two hundred ninety-one thousand, seven hundred".