20429556624 has 135 divisors (see below), whose sum is σ = 58747023153. Its totient is φ = 6627470976.

The previous prime is 20429556619. The next prime is 20429556647. The reversal of 20429556624 is 42665592402.

The square root of 20429556624 is 142932.

It is a perfect power (a square), and thus also a powerful number.

20429556624 is a `hidden beast` number, since 20 + 42 + 9 + 5 + 566 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3521235600 + 16908321024 = 59340^2 + 130032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20429556624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73752774 + ... + 73753050.

Almost surely, 2^20429556624 is an apocalyptic number.

20429556624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20429556624 is the 142932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20429556624

20429556624 is an abundant number, since it is smaller than the sum of its proper divisors (38317466529).

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

20429556624 is an equidigital number, since it uses as much as digits as its factorization.

20429556624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 20429556624 in words is "twenty billion, four hundred twenty-nine million, five hundred fifty-six thousand, six hundred twenty-four".