21793148805120 has 1344 divisors, whose sum is σ = 90895314450816. Its totient is φ = 4405560606720.

The previous prime is 21793148805101. The next prime is 21793148805151. The reversal of 21793148805120 is 2150884139712.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2450591394 + ... + 2450600286.

Almost surely, 2^{21793148805120} is an apocalyptic number.

21793148805120 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 21793148805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45447657225408).

21793148805120 is an abundant number, since it is smaller than the sum of its proper divisors (69102165645696).

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

21793148805120 is a wasteful number, since it uses less digits than its factorization.

21793148805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 21793148805120 in words is "twenty-one trillion, seven hundred ninety-three billion, one hundred forty-eight million, eight hundred five thousand, one hundred twenty".