990503640000 has 2100 divisors, whose sum is σ = 4531430303136. Its totient is φ = 212502528000.

The previous prime is 990503639987. The next prime is 990503640011. The reversal of 990503640000 is 46305099.

990503640000 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 0 + 3 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 2698919817 + ... + 2698920183.

Almost surely, 2^990503640000 is an apocalyptic number.

990503640000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990503640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265715151568).

990503640000 is an abundant number, since it is smaller than the sum of its proper divisors (3540926663136).

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

990503640000 is a wasteful number, since it uses less digits than its factorization.

990503640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 990503640000 its reverse (46305099), we get a palindrome (990549945099).

The spelling of 990503640000 in words is "nine hundred ninety billion, five hundred three million, six hundred forty thousand".