10851796800 has 1008 divisors, whose sum is σ = 45743530560. Its totient is φ = 2508226560.

The previous prime is 10851796763. The next prime is 10851796807. The reversal of 10851796800 is 869715801.

It is a super-2 number, since 2×10851796800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10851796807) 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 143 ways as a sum of consecutive naturals, for example, 96033544 + ... + 96033656.

Almost surely, 2^10851796800 is an apocalyptic number.

10851796800 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 10851796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22871765280).

10851796800 is an abundant number, since it is smaller than the sum of its proper divisors (34891733760).

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

10851796800 is a wasteful number, since it uses less digits than its factorization.

10851796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 10851796800 in words is "ten billion, eight hundred fifty-one million, seven hundred ninety-six thousand, eight hundred".