10448611200 has 384 divisors, whose sum is σ = 38737029600. Its totient is φ = 2784430080.

The previous prime is 10448611193. The next prime is 10448611211. The reversal of 10448611200 is 211684401.

It is a happy number.

10448611200 is a `hidden beast` number, since 1 + 0 + 4 + 48 + 611 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 6997654 + ... + 6999146.

Almost surely, 2^10448611200 is an apocalyptic number.

10448611200 is a gapful number since it is divisible by the number (10) 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 10448611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19368514800).

10448611200 is an abundant number, since it is smaller than the sum of its proper divisors (28288418400).

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

10448611200 is an frugal number, since it uses more digits than its factorization.

10448611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10448611200 in words is "ten billion, four hundred forty-eight million, six hundred eleven thousand, two hundred".