9985878080640 has 1536 divisors, whose sum is σ = 46930980096000. Its totient is φ = 1965732986880.

The previous prime is 9985878080627. The next prime is 9985878080671. The reversal of 9985878080640 is 460808785899.

It is a super-2 number, since 2×9985878080640² (a number of 27 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227503816 + ... + 227547704.

It is an arithmetic number, because the mean of its divisors is an integer number (30554023500).

Almost surely, 2^{9985878080640} is an apocalyptic number.

9985878080640 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 9985878080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465490048000).

9985878080640 is an abundant number, since it is smaller than the sum of its proper divisors (36945102015360).

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

9985878080640 is a wasteful number, since it uses less digits than its factorization.

9985878080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43960 (or 43936 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 9985878080640 in words is "nine trillion, nine hundred eighty-five billion, eight hundred seventy-eight million, eighty thousand, six hundred forty".