10601453600 has 72 divisors (see below), whose sum is σ = 25943097348. Its totient is φ = 4230374400.

The previous prime is 10601453593. The next prime is 10601453669. The reversal of 10601453600 is 635410601.

It can be written as a sum of positive squares in 6 ways, for example, as 1377003664 + 9224449936 = 37108^2 + 96044^2 .

It is a super-2 number, since 2×10601453600² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10601453600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321062 + ... + 352538.

Almost surely, 2^10601453600 is an apocalyptic number.

10601453600 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 10601453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12971548674).

10601453600 is an abundant number, since it is smaller than the sum of its proper divisors (15341643748).

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

10601453600 is a wasteful number, since it uses less digits than its factorization.

10601453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31918 (or 31905 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 10601453600 in words is "ten billion, six hundred one million, four hundred fifty-three thousand, six hundred".