990584000000 has 840 divisors, whose sum is σ = 3044984461200. Its totient is φ = 321753600000.

The previous prime is 990583999997. The next prime is 990584000009. The reversal of 990584000000 is 485099.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×990584000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990584000009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 52135999991 + ... + 52136000009.

Almost surely, 2^990584000000 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 990584000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522492230600).

990584000000 is an abundant number, since it is smaller than the sum of its proper divisors (2054400461200).

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

990584000000 is an frugal number, since it uses more digits than its factorization.

990584000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

Adding to 990584000000 its reverse (485099), we get a palindrome (990584485099).

The spelling of 990584000000 in words is "nine hundred ninety billion, five hundred eighty-four million", and thus it is an aban number.