20006024400 has 90 divisors (see below), whose sum is σ = 69426474390. Its totient is φ = 5334938880.

The previous prime is 20006024323. The next prime is 20006024411. The reversal of 20006024400 is 442060002.

20006024400 is a `hidden beast` number, since 20 + 0 + 0 + 602 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 572549184 + 19433475216 = 23928^2 + 139404^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2775015 + ... + 2782214.

It is an arithmetic number, because the mean of its divisors is an integer number (771405271).

Almost surely, 2^20006024400 is an apocalyptic number.

20006024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20006024400 is an abundant number, since it is smaller than the sum of its proper divisors (49420449990).

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

20006024400 is a wasteful number, since it uses less digits than its factorization.

20006024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557253 (or 5557239 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20006024400 its reverse (442060002), we get a palindrome (20448084402).

It can be divided in two parts, 2000602 and 4400, that added together give a palindrome (2005002).

The spelling of 20006024400 in words is "twenty billion, six million, twenty-four thousand, four hundred".