20124254304 has 480 divisors, whose sum is σ = 75083500800. Its totient is φ = 5135477760.

The previous prime is 20124254299. The next prime is 20124254323. The reversal of 20124254304 is 40345242102.

20124254304 is a `hidden beast` number, since 201 + 2 + 4 + 25 + 430 + 4 = 666.

It is a super-2 number, since 2×20124254304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11774602 + ... + 11776310.

It is an arithmetic number, because the mean of its divisors is an integer number (156423960).

Almost surely, 2^20124254304 is an apocalyptic number.

20124254304 is a gapful number since it is divisible by the number (24) 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 20124254304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37541750400).

20124254304 is an abundant number, since it is smaller than the sum of its proper divisors (54959246496).

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

20124254304 is a wasteful number, since it uses less digits than its factorization.

20124254304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20124254304 its reverse (40345242102), we get a palindrome (60469496406).

The spelling of 20124254304 in words is "twenty billion, one hundred twenty-four million, two hundred fifty-four thousand, three hundred four".