1053799200 has 144 divisors (see below), whose sum is σ = 3811318560. Its totient is φ = 281007360.

The previous prime is 1053799189. The next prime is 1053799231. The reversal of 1053799200 is 29973501.

1053799200 is a `hidden beast` number, since 10 + 537 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1053799200² = 2220985507841280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2794 + ... + 45993.

It is an arithmetic number, because the mean of its divisors is an integer number (26467490).

Almost surely, 2^1053799200 is an apocalyptic number.

1053799200 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 1053799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905659280).

1053799200 is an abundant number, since it is smaller than the sum of its proper divisors (2757519360).

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

1053799200 is a wasteful number, since it uses less digits than its factorization.

1053799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48816 (or 48797 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1053799200 is about 32462.2734878505. The cubic root of 1053799200 is about 1017.6207520688.

The spelling of 1053799200 in words is "one billion, fifty-three million, seven hundred ninety-nine thousand, two hundred".