9998611297920 has 2048 divisors, whose sum is σ = 44670320640000. Its totient is φ = 2061045596160.

The previous prime is 9998611297901. The next prime is 9998611297943. The reversal of 9998611297920 is 297921168999.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6948304561 + ... + 6948305999.

It is an arithmetic number, because the mean of its divisors is an integer number (21811680000).

Almost surely, 2^{9998611297920} is an apocalyptic number.

9998611297920 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 9998611297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335160320000).

9998611297920 is an abundant number, since it is smaller than the sum of its proper divisors (34671709342080).

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

9998611297920 is a wasteful number, since it uses less digits than its factorization.

9998611297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 9998611297920 in words is "nine trillion, nine hundred ninety-eight billion, six hundred eleven million, two hundred ninety-seven thousand, nine hundred twenty".