21794764536120 has 256 divisors, whose sum is σ = 67930299924480. Its totient is φ = 5588144755200.

The previous prime is 21794764536107. The next prime is 21794764536169. The reversal of 21794764536120 is 2163546749712.

It is a super-2 number, since 2×21794764536120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460724389 + ... + 460771691.

It is an arithmetic number, because the mean of its divisors is an integer number (265352734080).

Almost surely, 2^{21794764536120} is an apocalyptic number.

21794764536120 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 21794764536120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965149962240).

21794764536120 is an abundant number, since it is smaller than the sum of its proper divisors (46135535388360).

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

21794764536120 is a wasteful number, since it uses less digits than its factorization.

21794764536120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48146 (or 48142 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 21794764536120 in words is "twenty-one trillion, seven hundred ninety-four billion, seven hundred sixty-four million, five hundred thirty-six thousand, one hundred twenty".