10605593856 has 216 divisors, whose sum is σ = 33416047840. Its totient is φ = 2966261760.

The previous prime is 10605593849. The next prime is 10605593863. The reversal of 10605593856 is 65839550601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10605593849) and next prime (10605593863).

It is a super-2 number, since 2×10605593856² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1203675 + ... + 1212453.

Almost surely, 2^10605593856 is an apocalyptic number.

10605593856 is a gapful number since it is divisible by the number (16) 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 10605593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708023920).

10605593856 is an abundant number, since it is smaller than the sum of its proper divisors (22810453984).

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

10605593856 is a wasteful number, since it uses less digits than its factorization.

10605593856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 10605593856 in words is "ten billion, six hundred five million, five hundred ninety-three thousand, eight hundred fifty-six".