20633952000 has 288 divisors, whose sum is σ = 69716424960. Its totient is φ = 5407641600.

The previous prime is 20633951983. The next prime is 20633952019. The reversal of 20633952000 is 25933602.

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

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, 5662179 + ... + 5665821.

It is an arithmetic number, because the mean of its divisors is an integer number (242070920).

Almost surely, 2^20633952000 is an apocalyptic number.

20633952000 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 20633952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34858212480).

20633952000 is an abundant number, since it is smaller than the sum of its proper divisors (49082472960).

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

20633952000 is an equidigital number, since it uses as much as digits as its factorization.

20633952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 20633952000 in words is "twenty billion, six hundred thirty-three million, nine hundred fifty-two thousand".