21624165430152 has 128 divisors (see below), whose sum is σ = 57323775600000. Its totient is φ = 6778572466176.

The previous prime is 21624165430139. The next prime is 21624165430163. The reversal of 21624165430152 is 25103456142612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108406924 + ... + 108606212.

It is an arithmetic number, because the mean of its divisors is an integer number (447841996875).

Almost surely, 2^{21624165430152} 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 21624165430152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28661887800000).

21624165430152 is an abundant number, since it is smaller than the sum of its proper divisors (35699610169848).

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

21624165430152 is a wasteful number, since it uses less digits than its factorization.

21624165430152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201063 (or 201059 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 21624165430152 in words is "twenty-one trillion, six hundred twenty-four billion, one hundred sixty-five million, four hundred thirty thousand, one hundred fifty-two".