21920058000 has 960 divisors, whose sum is σ = 86691451392. Its totient is φ = 5337446400.

The previous prime is 21920057989. The next prime is 21920058007. The reversal of 21920058000 is 85002912.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21920058007) 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 191 ways as a sum of consecutive naturals, for example, 413585974 + ... + 413586026.

Almost surely, 2^21920058000 is an apocalyptic number.

21920058000 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 21920058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43345725696).

21920058000 is an abundant number, since it is smaller than the sum of its proper divisors (64771393392).

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

21920058000 is a wasteful number, since it uses less digits than its factorization.

21920058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 21920058000 in words is "twenty-one billion, nine hundred twenty million, fifty-eight thousand".