990905142960 has 320 divisors, whose sum is σ = 3507392655360. Its totient is φ = 256950973440.

The previous prime is 990905142881. The next prime is 990905143001. The reversal of 990905142960 is 69241509099.

990905142960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 990905142897 and 990905142906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232005625 + ... + 232009895.

It is an arithmetic number, because the mean of its divisors is an integer number (10960602048).

Almost surely, 2^990905142960 is an apocalyptic number.

990905142960 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 990905142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753696327680).

990905142960 is an abundant number, since it is smaller than the sum of its proper divisors (2516487512400).

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

990905142960 is a wasteful number, since it uses less digits than its factorization.

990905142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7233 (or 7221 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 990905142960 in words is "nine hundred ninety billion, nine hundred five million, one hundred forty-two thousand, nine hundred sixty".