10693327471200 has 1152 divisors, whose sum is σ = 42686592883200. Its totient is φ = 2583324057600.

The previous prime is 10693327471147. The next prime is 10693327471207. The reversal of 10693327471200 is 217472339601.

10693327471200 is a `hidden beast` number, since 10 + 69 + 332 + 7 + 47 + 1 + 200 = 666.

It is a super-2 number, since 2×10693327471200² (a number of 27 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 (10693327471207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12448576371 + ... + 12448577229.

It is an arithmetic number, because the mean of its divisors is an integer number (37054334100).

Almost surely, 2^{10693327471200} is an apocalyptic number.

10693327471200 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 10693327471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21343296441600).

10693327471200 is an abundant number, since it is smaller than the sum of its proper divisors (31993265412000).

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

10693327471200 is a wasteful number, since it uses less digits than its factorization.

10693327471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10693327471200 in words is "ten trillion, six hundred ninety-three billion, three hundred twenty-seven million, four hundred seventy-one thousand, two hundred".