20621952000 has 1232 divisors, whose sum is σ = 87955528752. Its totient is φ = 4777574400.

The previous prime is 20621951957. The next prime is 20621952023. The reversal of 20621952000 is 25912602.

It can be written as a sum of positive squares in 8 ways, for example, as 7615005696 + 13006946304 = 87264^2 + 114048^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1213055992 + ... + 1213056008.

Almost surely, 2^20621952000 is an apocalyptic number.

20621952000 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 20621952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43977764376).

20621952000 is an abundant number, since it is smaller than the sum of its proper divisors (67333576752).

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

20621952000 is an equidigital number, since it uses as much as digits as its factorization.

20621952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20621952000 in words is "twenty billion, six hundred twenty-one million, nine hundred fifty-two thousand".