10048057600 has 243 divisors, whose sum is σ = 29093533077. Its totient is φ = 3425802240.

The previous prime is 10048057589. The next prime is 10048057601. The reversal of 10048057600 is 675084001.

The square root of 10048057600 is 100240.

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

It can be written as a sum of positive squares in only one way, i.e., 3617300736 + 6430756864 = 60144^2 + 80192^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10048057601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56134311 + ... + 56134489.

Almost surely, 2^10048057600 is an apocalyptic number.

10048057600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10048057600 is the 100240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10048057600

10048057600 is an abundant number, since it is smaller than the sum of its proper divisors (19045475477).

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

10048057600 is an frugal number, since it uses more digits than its factorization.

10048057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 10048057600 in words is "ten billion, forty-eight million, fifty-seven thousand, six hundred".