999982609920 has 1600 divisors, whose sum is σ = 4363499289600. Its totient is φ = 213796454400.

The previous prime is 999982609903. The next prime is 999982609931. The reversal of 999982609920 is 29906289999.

999982609920 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 8 + 2 + 609 + 9 + 2 + 0 = 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 159 ways as a sum of consecutive naturals, for example, 2785466701 + ... + 2785467059.

It is an arithmetic number, because the mean of its divisors is an integer number (2727187056).

Almost surely, 2^999982609920 is an apocalyptic number.

999982609920 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 999982609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181749644800).

999982609920 is an abundant number, since it is smaller than the sum of its proper divisors (3363516679680).

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

999982609920 is a wasteful number, since it uses less digits than its factorization.

999982609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 102036672, while the sum is 72.

The spelling of 999982609920 in words is "nine hundred ninety-nine billion, nine hundred eighty-two million, six hundred nine thousand, nine hundred twenty".