21193458315120 has 2240 divisors, whose sum is σ = 97172410567680. Its totient is φ = 4171682414592.

The previous prime is 21193458315103. The next prime is 21193458315191. The reversal of 21193458315120 is 2151385439112.

21193458315120 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 34 + 583 + 15 + 1 + 20 = 666.

It is a super-2 number, since 2×21193458315120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6755962192 + ... + 6755965328.

It is an arithmetic number, because the mean of its divisors is an integer number (43380540432).

Almost surely, 2^{21193458315120} is an apocalyptic number.

21193458315120 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 21193458315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48586205283840).

21193458315120 is an abundant number, since it is smaller than the sum of its proper divisors (75978952252560).

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

21193458315120 is a wasteful number, since it uses less digits than its factorization.

21193458315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 21193458315120 in words is "twenty-one trillion, one hundred ninety-three billion, four hundred fifty-eight million, three hundred fifteen thousand, one hundred twenty".