9990947955024 has 120 divisors (see below), whose sum is σ = 28299806196480. Its totient is φ = 3289941559296.

The previous prime is 9990947955013. The next prime is 9990947955031. The reversal of 9990947955024 is 4205597490999.

9990947955024 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 9 + 47 + 9 + 550 + 24 = 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 23 ways as a sum of consecutive naturals, for example, 222201057 + ... + 222246015.

It is an arithmetic number, because the mean of its divisors is an integer number (235831718304).

Almost surely, 2^{9990947955024} 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 9990947955024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149903098240).

9990947955024 is an abundant number, since it is smaller than the sum of its proper divisors (18308858241456).

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

9990947955024 is a wasteful number, since it uses less digits than its factorization.

9990947955024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63649 (or 63640 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 9990947955024 in words is "nine trillion, nine hundred ninety billion, nine hundred forty-seven million, nine hundred fifty-five thousand, twenty-four".