21351353435412 has 384 divisors, whose sum is σ = 67103576064000. Its totient is φ = 5102962675200.

The previous prime is 21351353435383. The next prime is 21351353435459. The reversal of 21351353435412 is 21453435315312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5835295639 + ... + 5835299297.

It is an arithmetic number, because the mean of its divisors is an integer number (174748896000).

Almost surely, 2^{21351353435412} is an apocalyptic number.

21351353435412 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 21351353435412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33551788032000).

21351353435412 is an abundant number, since it is smaller than the sum of its proper divisors (45752222628588).

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

21351353435412 is a wasteful number, since it uses less digits than its factorization.

21351353435412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5105 counting only the distinct ones).

The product of its digits is 648000, while the sum is 42.

The spelling of 21351353435412 in words is "twenty-one trillion, three hundred fifty-one billion, three hundred fifty-three million, four hundred thirty-five thousand, four hundred twelve".