10555449600 has 432 divisors, whose sum is σ = 37473976512. Its totient is φ = 2607022080.

The previous prime is 10555449599. The next prime is 10555449613. The reversal of 10555449600 is 694455501.

It is a super-2 number, since 2×10555449600² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) 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 47 ways as a sum of consecutive naturals, for example, 23826979 + ... + 23827421.

It is an arithmetic number, because the mean of its divisors is an integer number (86745316).

Almost surely, 2^10555449600 is an apocalyptic number.

10555449600 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 10555449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18736988256).

10555449600 is an abundant number, since it is smaller than the sum of its proper divisors (26918526912).

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

10555449600 is a wasteful number, since it uses less digits than its factorization.

10555449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 10555449600 in words is "ten billion, five hundred fifty-five million, four hundred forty-nine thousand, six hundred".