10947736800 has 1728 divisors, whose sum is σ = 54596505600. Its totient is φ = 2032128000.

The previous prime is 10947736777. The next prime is 10947736841. The reversal of 10947736800 is 863774901.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 353152785 + ... + 353152815.

It is an arithmetic number, because the mean of its divisors is an integer number (31595200).

Almost surely, 2^10947736800 is an apocalyptic number.

10947736800 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 10947736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298252800).

10947736800 is an abundant number, since it is smaller than the sum of its proper divisors (43648768800).

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

10947736800 is a wasteful number, since it uses less digits than its factorization.

10947736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 10947 and 736800, that added together give a palindrome (747747).

The spelling of 10947736800 in words is "ten billion, nine hundred forty-seven million, seven hundred thirty-six thousand, eight hundred".