20727552000 has 384 divisors, whose sum is σ = 69820470720. Its totient is φ = 5459148800.

The previous prime is 20727551989. The next prime is 20727552031. The reversal of 20727552000 is 25572702.

It is a tau number, because it is divible by the number of its divisors (384).

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, 105215902 + ... + 105216098.

Almost surely, 2^20727552000 is an apocalyptic number.

20727552000 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 20727552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34910235360).

20727552000 is an abundant number, since it is smaller than the sum of its proper divisors (49092918720).

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

20727552000 is a wasteful number, since it uses less digits than its factorization.

20727552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The spelling of 20727552000 in words is "twenty billion, seven hundred twenty-seven million, five hundred fifty-two thousand".