10553347200 has 576 divisors, whose sum is σ = 39506533920. Its totient is φ = 2455142400.

The previous prime is 10553347199. The next prime is 10553347201. The reversal of 10553347200 is 274335501.

It is an interprime number because it is at equal distance from previous prime (10553347199) and next prime (10553347201).

It is a super-2 number, since 2×10553347200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10553347201) 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 71 ways as a sum of consecutive naturals, for example, 144566364 + ... + 144566436.

Almost surely, 2^10553347200 is an apocalyptic number.

10553347200 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 10553347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19753266960).

10553347200 is an abundant number, since it is smaller than the sum of its proper divisors (28953186720).

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

10553347200 is a wasteful number, since it uses less digits than its factorization.

10553347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

It can be divided in two parts, 10553 and 347200, that added together give a palindrome (357753).

The spelling of 10553347200 in words is "ten billion, five hundred fifty-three million, three hundred forty-seven thousand, two hundred".