13161657600 has 1512 divisors, whose sum is σ = 62054139392. Its totient is φ = 2687385600.

The previous prime is 13161657571. The next prime is 13161657611. The reversal of 13161657600 is 675616131.

13161657600 is a `hidden beast` number, since 1 + 31 + 6 + 16 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 424569585 + ... + 424569615.

Almost surely, 2^13161657600 is an apocalyptic number.

13161657600 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 13161657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31027069696).

13161657600 is an abundant number, since it is smaller than the sum of its proper divisors (48892481792).

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

13161657600 is an equidigital number, since it uses as much as digits as its factorization.

13161657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

It can be divided in two parts, 13161 and 657600, that added together give a square (670761 = 819²).

The spelling of 13161657600 in words is "thirteen billion, one hundred sixty-one million, six hundred fifty-seven thousand, six hundred".