24428009700900 has 2187 divisors, whose sum is σ = 94737612953529. Its totient is φ = 5261002306560.

The previous prime is 24428009700841. The next prime is 24428009700943. The reversal of 24428009700900 is 900790082442.

The square root of 24428009700900 is 4942470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 22597530586596 + 1830479114304 = 4753686^2 + 1352952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 842345162086 + ... + 842345162114.

Almost surely, 2^{24428009700900} is an apocalyptic number.

24428009700900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24428009700900 is the 4942470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24428009700900

24428009700900 is an abundant number, since it is smaller than the sum of its proper divisors (70309603252629).

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

24428009700900 is a wasteful number, since it uses less digits than its factorization.

24428009700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 24428009700900 in words is "twenty-four trillion, four hundred twenty-eight billion, nine million, seven hundred thousand, nine hundred".