20426952000 has 896 divisors, whose sum is σ = 85207449600. Its totient is φ = 4196966400.

The previous prime is 20426951999. The next prime is 20426952001. The reversal of 20426952000 is 25962402.

It is an interprime number because it is at equal distance from previous prime (20426951999) and next prime (20426952001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20426952001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102647901 + ... + 102648099.

It is an arithmetic number, because the mean of its divisors is an integer number (95097600).

Almost surely, 2^20426952000 is an apocalyptic number.

20426952000 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 20426952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42603724800).

20426952000 is an abundant number, since it is smaller than the sum of its proper divisors (64780497600).

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

20426952000 is a wasteful number, since it uses less digits than its factorization.

20426952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 20426952000 in words is "twenty billion, four hundred twenty-six million, nine hundred fifty-two thousand".