990808882560 has 384 divisors, whose sum is σ = 4082034981600. Its totient is φ = 226470408192.

The previous prime is 990808882517. The next prime is 990808882577. The reversal of 990808882560 is 65288808099.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261634 + ... + 1431806.

Almost surely, 2^990808882560 is an apocalyptic number.

990808882560 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 990808882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041017490800).

990808882560 is an abundant number, since it is smaller than the sum of its proper divisors (3091226099040).

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

990808882560 is a wasteful number, since it uses less digits than its factorization.

990808882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170215 (or 1170190 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 990808882560 in words is "nine hundred ninety billion, eight hundred eight million, eight hundred eighty-two thousand, five hundred sixty".