10851436800 has 324 divisors, whose sum is σ = 40488075264. Its totient is φ = 2767564800.

The previous prime is 10851436759. The next prime is 10851436801. The reversal of 10851436800 is 863415801.

10851436800 is a `hidden beast` number, since 108 + 514 + 36 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×10851436800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10851436801) 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 35 ways as a sum of consecutive naturals, for example, 1320705 + ... + 1328895.

Almost surely, 2^10851436800 is an apocalyptic number.

10851436800 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 10851436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244037632).

10851436800 is an abundant number, since it is smaller than the sum of its proper divisors (29636638464).

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

10851436800 is a wasteful number, since it uses less digits than its factorization.

10851436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10851436800 in words is "ten billion, eight hundred fifty-one million, four hundred thirty-six thousand, eight hundred".