10550707200 has 792 divisors, whose sum is σ = 43240107456. Its totient is φ = 2433024000.

The previous prime is 10550707199. The next prime is 10550707247. The reversal of 10550707200 is 270705501.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×10550707200² (a number of 21 digits) contains 22 as substring.

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 an unprimeable number.

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, 58291110 + ... + 58291290.

Almost surely, 2^10550707200 is an apocalyptic number.

10550707200 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 10550707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21620053728).

10550707200 is an abundant number, since it is smaller than the sum of its proper divisors (32689400256).

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

10550707200 is a wasteful number, since it uses less digits than its factorization.

10550707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The spelling of 10550707200 in words is "ten billion, five hundred fifty million, seven hundred seven thousand, two hundred".