990005872416 has 384 divisors, whose sum is σ = 2916289474560. Its totient is φ = 291564748800.

The previous prime is 990005872411. The next prime is 990005872423. The reversal of 990005872416 is 614278500099.

It is a super-2 number, since 2×990005872416² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (990005872411) 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 63 ways as a sum of consecutive naturals, for example, 1715781120 + ... + 1715781696.

It is an arithmetic number, because the mean of its divisors is an integer number (7594503840).

Almost surely, 2^990005872416 is an apocalyptic number.

990005872416 is a gapful number since it is divisible by the number (96) 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 990005872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458144737280).

990005872416 is an abundant number, since it is smaller than the sum of its proper divisors (1926283602144).

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

990005872416 is a wasteful number, since it uses less digits than its factorization.

990005872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 990005872416 in words is "nine hundred ninety billion, five million, eight hundred seventy-two thousand, four hundred sixteen".