10605511152 has 120 divisors (see below), whose sum is σ = 30309939504. Its totient is φ = 3460534272.

The previous prime is 10605511139. The next prime is 10605511157. The reversal of 10605511152 is 25111550601.

10605511152 is a `hidden beast` number, since 1 + 0 + 60 + 551 + 1 + 1 + 52 = 666.

It is a super-2 number, since 2×10605511152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605511157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3990208 + ... + 3992864.

Almost surely, 2^10605511152 is an apocalyptic number.

10605511152 is a gapful number since it is divisible by the number (12) 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 10605511152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154969752).

10605511152 is an abundant number, since it is smaller than the sum of its proper divisors (19704428352).

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

10605511152 is a wasteful number, since it uses less digits than its factorization.

10605511152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 10605511152 in words is "ten billion, six hundred five million, five hundred eleven thousand, one hundred fifty-two".