990523269120 has 1344 divisors, whose sum is σ = 4123319574528. Its totient is φ = 198534758400.

The previous prime is 990523269083. The next prime is 990523269121. The reversal of 990523269120 is 21962325099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×990523269120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 990523269120.

It is not an unprimeable number, because it can be changed into a prime (990523269121) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3226460007 + ... + 3226460313.

It is an arithmetic number, because the mean of its divisors is an integer number (3067946112).

Almost surely, 2^990523269120 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 990523269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061659787264).

990523269120 is an abundant number, since it is smaller than the sum of its proper divisors (3132796305408).

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

990523269120 is a wasteful number, since it uses less digits than its factorization.

990523269120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 990523269120 in words is "nine hundred ninety billion, five hundred twenty-three million, two hundred sixty-nine thousand, one hundred twenty".