21425133152412 has 144 divisors (see below), whose sum is σ = 59672376298080. Its totient is φ = 6427538112000.

The previous prime is 21425133152393. The next prime is 21425133152417.

21425133152412 is a `hidden beast` number, since 2 + 1 + 42 + 51 + 3 + 3 + 152 + 412 = 666.

21425133152412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21425133152417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529086838 + ... + 529127330.

It is an arithmetic number, because the mean of its divisors is an integer number (414391502070).

Almost surely, 2^{21425133152412} is an apocalyptic number.

21425133152412 is a gapful number since it is divisible by the number (22) 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 21425133152412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29836188149040).

21425133152412 is an abundant number, since it is smaller than the sum of its proper divisors (38247243145668).

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

21425133152412 is a wasteful number, since it uses less digits than its factorization.

21425133152412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53844 (or 53839 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 2142513 and 3152412, that added together give a palindrome (5294925).

The spelling of 21425133152412 in words is "twenty-one trillion, four hundred twenty-five billion, one hundred thirty-three million, one hundred fifty-two thousand, four hundred twelve".