13604438769600 has 672 divisors, whose sum is σ = 51277794011136. Its totient is φ = 3093316300800.

The previous prime is 13604438769577. The next prime is 13604438769697. The reversal of 13604438769600 is 696783440631.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7045280635 + ... + 7045282565.

It is an arithmetic number, because the mean of its divisors is an integer number (76306241088).

Almost surely, 2^{13604438769600} is an apocalyptic number.

13604438769600 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 13604438769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25638897005568).

13604438769600 is an abundant number, since it is smaller than the sum of its proper divisors (37673355241536).

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

13604438769600 is a wasteful number, since it uses less digits than its factorization.

13604438769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 13604438769600 in words is "thirteen trillion, six hundred four billion, four hundred thirty-eight million, seven hundred sixty-nine thousand, six hundred".