10685374568064 has 1152 divisors, whose sum is σ = 38190085053120. Its totient is φ = 2963469680640.

The previous prime is 10685374568051. The next prime is 10685374568101. The reversal of 10685374568064 is 46086547358601.

10685374568064 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 5 + 3 + 7 + 4 + 568 + 0 + 64 = 666.

10685374568064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10685374568064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10685374567992 and 10685374568010.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19183796074 + ... + 19183796630.

Almost surely, 2^{10685374568064} is an apocalyptic number.

10685374568064 is a gapful number since it is divisible by the number (14) 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 10685374568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19095042526560).

10685374568064 is an abundant number, since it is smaller than the sum of its proper divisors (27504710485056).

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

10685374568064 is an equidigital number, since it uses as much as digits as its factorization.

10685374568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 10685374568064 in words is "ten trillion, six hundred eighty-five billion, three hundred seventy-four million, five hundred sixty-eight thousand, sixty-four".