21102946567424 has 72 divisors (see below), whose sum is σ = 42566191030272. Its totient is φ = 10440699955200.

The previous prime is 21102946567421. The next prime is 21102946567433. The reversal of 21102946567424 is 42476564920112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21102946567421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42753137 + ... + 43243919.

Almost surely, 2^{21102946567424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102946567424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283095515136).

21102946567424 is an abundant number, since it is smaller than the sum of its proper divisors (21463244462848).

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

21102946567424 is a wasteful number, since it uses less digits than its factorization.

21102946567424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492563 (or 492549 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 21102946567424 in words is "twenty-one trillion, one hundred two billion, nine hundred forty-six million, five hundred sixty-seven thousand, four hundred twenty-four".