9990596173824 has 1120 divisors, whose sum is σ = 37694077698816. Its totient is φ = 2569273344000.

The previous prime is 9990596173823. The next prime is 9990596173837. The reversal of 9990596173824 is 4283716950999.

9990596173824 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 596 + 1 + 7 + 3 + 8 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9990596173823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1816139074 + ... + 1816144574.

It is a 1-persistent number, because it is pandigital, but 2⋅9990596173824 = 19981192347648 is not.

Almost surely, 2^{9990596173824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990596173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847038849408).

9990596173824 is an abundant number, since it is smaller than the sum of its proper divisors (27703481524992).

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

9990596173824 is a wasteful number, since it uses less digits than its factorization.

9990596173824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 9990596173824 in words is "nine trillion, nine hundred ninety billion, five hundred ninety-six million, one hundred seventy-three thousand, eight hundred twenty-four".