10601409600 has 588 divisors, whose sum is σ = 40019211300. Its totient is φ = 2762035200.

The previous prime is 10601409589. The next prime is 10601409607. The reversal of 10601409600 is 690410601.

10601409600 is a `hidden beast` number, since 10 + 6 + 0 + 1 + 40 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4005370944 + 6596038656 = 63288^2 + 81216^2 .

It is a super-2 number, since 2×10601409600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10601409607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 71150326 + ... + 71150474.

Almost surely, 2^10601409600 is an apocalyptic number.

10601409600 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 10601409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20009605650).

10601409600 is an abundant number, since it is smaller than the sum of its proper divisors (29417801700).

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

10601409600 is an equidigital number, since it uses as much as digits as its factorization.

10601409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10601409600 in words is "ten billion, six hundred one million, four hundred nine thousand, six hundred".