9993079859040 has 144 divisors (see below), whose sum is σ = 34533048513600. Its totient is φ = 2631089350656.

The previous prime is 9993079859011. The next prime is 9993079859083. The reversal of 9993079859040 is 409589703999.

9993079859040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×9993079859040³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9993079859040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43808005 + ... + 44035524.

It is an arithmetic number, because the mean of its divisors is an integer number (239812836900).

Almost surely, 2^{9993079859040} is an apocalyptic number.

9993079859040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9993079859040 is an abundant number, since it is smaller than the sum of its proper divisors (24539968654560).

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

9993079859040 is a wasteful number, since it uses less digits than its factorization.

9993079859040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87843629 (or 87843618 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 9993079859040 in words is "nine trillion, nine hundred ninety-three billion, seventy-nine million, eight hundred fifty-nine thousand, forty".