20901888000 has 896 divisors, whose sum is σ = 89393934240. Its totient is φ = 4777574400.

The previous prime is 20901887999. The next prime is 20901888001. The reversal of 20901888000 is 88810902.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 6! ⋅ (2!)³.

It is an interprime number because it is at equal distance from previous prime (20901887999) and next prime (20901888001).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20901888001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2985983997 + ... + 2985984003.

Almost surely, 2^20901888000 is an apocalyptic number.

20901888000 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 20901888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44696967120).

20901888000 is an abundant number, since it is smaller than the sum of its proper divisors (68492046240).

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

20901888000 is an frugal number, since it uses more digits than its factorization.

20901888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 20901888000 in words is "twenty billion, nine hundred one million, eight hundred eighty-eight thousand".