10693401788160 has 2304 divisors, whose sum is σ = 48293332254720. Its totient is φ = 2180484956160.

The previous prime is 10693401788141. The next prime is 10693401788197. The reversal of 10693401788160 is 6188710439601.

10693401788160 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 3 + 401 + 78 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×10693401788160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10693401788097 and 10693401788106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16375806394 + ... + 16375807046.

It is an arithmetic number, because the mean of its divisors is an integer number (20960647680).

Almost surely, 2^{10693401788160} is an apocalyptic number.

10693401788160 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 10693401788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146666127360).

10693401788160 is an abundant number, since it is smaller than the sum of its proper divisors (37599930466560).

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

10693401788160 is a wasteful number, since it uses less digits than its factorization.

10693401788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10693401788160 in words is "ten trillion, six hundred ninety-three billion, four hundred one million, seven hundred eighty-eight thousand, one hundred sixty".