20958430000 has 100 divisors (see below), whose sum is σ = 51012770688. Its totient is φ = 8338720000.

The previous prime is 20958429937. The next prime is 20958430039. The reversal of 20958430000 is 3485902.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1904514 + ... + 1915486.

Almost surely, 2^20958430000 is an apocalyptic number.

20958430000 is a gapful number since it is divisible by the number (20) 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 20958430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25506385344).

20958430000 is an abundant number, since it is smaller than the sum of its proper divisors (30054340688).

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

20958430000 is a wasteful number, since it uses less digits than its factorization.

20958430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 20958430000 in words is "twenty billion, nine hundred fifty-eight million, four hundred thirty thousand".