20511442000 has 160 divisors (see below), whose sum is σ = 56780365824. Its totient is φ = 7020288000.

The previous prime is 20511441949. The next prime is 20511442019. The reversal of 20511442000 is 24411502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12333169 + ... + 12334831.

Almost surely, 2^20511442000 is an apocalyptic number.

20511442000 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 20511442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28390182912).

20511442000 is an abundant number, since it is smaller than the sum of its proper divisors (36268923824).

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

20511442000 is a wasteful number, since it uses less digits than its factorization.

20511442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 20511442000 its reverse (24411502), we get a palindrome (20535853502).

The spelling of 20511442000 in words is "twenty billion, five hundred eleven million, four hundred forty-two thousand".