21428340093225 has 384 divisors, whose sum is σ = 44563097779200. Its totient is φ = 10016334028800.

The previous prime is 21428340093217. The next prime is 21428340093239. The reversal of 21428340093225 is 52239004382412.

21428340093225 is a `hidden beast` number, since 2 + 1 + 4 + 283 + 40 + 0 + 9 + 322 + 5 = 666.

It is not a de Polignac number, because 21428340093225 - 2³ = 21428340093217 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25003896997 + ... + 25003897853.

It is an arithmetic number, because the mean of its divisors is an integer number (116049733800).

Almost surely, 2^{21428340093225} is an apocalyptic number.

21428340093225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21428340093225 is an abundant number, since it is smaller than the sum of its proper divisors (23134757685975).

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

21428340093225 is a wasteful number, since it uses less digits than its factorization.

21428340093225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 21428340093225 in words is "twenty-one trillion, four hundred twenty-eight billion, three hundred forty million, ninety-three thousand, two hundred twenty-five".