10554079200 has 144 divisors (see below), whose sum is σ = 39261237120. Its totient is φ = 2412357120.

The previous prime is 10554079199. The next prime is 10554079231. The reversal of 10554079200 is 297045501.

10554079200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10554079200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 297310 + ... + 330909.

It is an arithmetic number, because the mean of its divisors is an integer number (272647480).

Almost surely, 2^10554079200 is an apocalyptic number.

10554079200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10554079200 is an abundant number, since it is smaller than the sum of its proper divisors (28707157920).

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

10554079200 is a wasteful number, since it uses less digits than its factorization.

10554079200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628249 (or 628236 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 10554079200 in words is "ten billion, five hundred fifty-four million, seventy-nine thousand, two hundred".