6605121153600 has 630 divisors, whose sum is σ = 25145246488934. Its totient is φ = 1700600832000.

The previous prime is 6605121153577. The next prime is 6605121153611. The reversal of 6605121153600 is 63511215066.

6605121153600 is a `hidden beast` number, since 6 + 60 + 51 + 2 + 11 + 536 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 301084858944 + 6304036294656 = 548712^2 + 2510784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 108963300 + ... + 109023900.

Almost surely, 2^{6605121153600} is an apocalyptic number.

6605121153600 is a gapful number since it is divisible by the number (60) 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 6605121153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572623244467).

6605121153600 is an abundant number, since it is smaller than the sum of its proper divisors (18540125335334).

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

6605121153600 is a wasteful number, since it uses less digits than its factorization.

6605121153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60693 (or 60640 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 6605121153600 its reverse (63511215066), we get a palindrome (6668632368666).

The spelling of 6605121153600 in words is "six trillion, six hundred five billion, one hundred twenty-one million, one hundred fifty-three thousand, six hundred".