990010011001000 has 128 divisors (see below), whose sum is σ = 2530958551580160. Its totient is φ = 359471874528000.

The previous prime is 990010011000979. The next prime is 990010011001001. The reversal of 990010011001000 is 100110010099.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (990010011001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59023392 + ... + 73917391.

It is an arithmetic number, because the mean of its divisors is an integer number (19773113684220).

Almost surely, 2^{990010011001000} is an apocalyptic number.

It is an amenable number.

990010011001000 is an abundant number, since it is smaller than the sum of its proper divisors (1540948540579160).

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

990010011001000 is a wasteful number, since it uses less digits than its factorization.

990010011001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132941492 (or 132941478 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 990010011001000 its reverse (100110010099), we get a palindrome (990110121011099).

It can be divided in two parts, 9 and 90010011001000, that added together give a palindrome (90010011001009).

The spelling of 990010011001000 in words is "nine hundred ninety trillion, ten billion, eleven million, one thousand".