21458188443100 has 72 divisors (see below), whose sum is σ = 47270698853168. Its totient is φ = 8453119910400.

The previous prime is 21458188443079. The next prime is 21458188443103. The reversal of 21458188443100 is 134488185412.

It is a super-2 number, since 2×21458188443100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21458188443103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27439510 + ... + 28210690.

Almost surely, 2^{21458188443100} is an apocalyptic number.

21458188443100 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 21458188443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23635349426584).

21458188443100 is an abundant number, since it is smaller than the sum of its proper divisors (25812510410068).

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

21458188443100 is a wasteful number, since it uses less digits than its factorization.

21458188443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775415 (or 775408 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 21458188443100 in words is "twenty-one trillion, four hundred fifty-eight billion, one hundred eighty-eight million, four hundred forty-three thousand, one hundred".