21850058880 has 512 divisors, whose sum is σ = 86982336000. Its totient is φ = 5143412736.

The previous prime is 21850058873. The next prime is 21850058887. The reversal of 21850058880 is 8885005812.

21850058880 is a `hidden beast` number, since 2 + 18 + 50 + 0 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21850058873) and next prime (21850058887).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21850058887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5164606 + ... + 5168834.

It is an arithmetic number, because the mean of its divisors is an integer number (169887375).

Almost surely, 2^21850058880 is an apocalyptic number.

21850058880 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 21850058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43491168000).

21850058880 is an abundant number, since it is smaller than the sum of its proper divisors (65132277120).

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

21850058880 is a wasteful number, since it uses less digits than its factorization.

21850058880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 21850058880 in words is "twenty-one billion, eight hundred fifty million, fifty-eight thousand, eight hundred eighty".