24870368480400 has 135 divisors (see below), whose sum is σ = 86308125455851. Its totient is φ = 6632018469120.

The previous prime is 24870368480369. The next prime is 24870368480417. The reversal of 24870368480400 is 408486307842.

It is a happy number.

The square root of 24870368480400 is 4987020.

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

24870368480400 is a `hidden beast` number, since 2 + 4 + 87 + 0 + 3 + 6 + 84 + 80 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10229276408976 + 14641092071424 = 3198324^2 + 3826368^2 .

It is a Duffinian number.

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, 299179642 + ... + 299262758.

Almost surely, 2^{24870368480400} is an apocalyptic number.

24870368480400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24870368480400 is the 4987020-th square number.

It is an amenable number.

24870368480400 is an abundant number, since it is smaller than the sum of its proper divisors (61437756975451).

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

24870368480400 is an frugal number, since it uses more digits than its factorization.

24870368480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166258 (or 83127 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 24870368480400 in words is "twenty-four trillion, eight hundred seventy billion, three hundred sixty-eight million, four hundred eighty thousand, four hundred".