13770400600000 has 672 divisors, whose sum is σ = 38944518016320. Its totient is φ = 4784640000000.

The previous prime is 13770400599997. The next prime is 13770400600007. The reversal of 13770400600000 is 600407731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13770400600007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6443798932 + ... + 6443801068.

It is an arithmetic number, because the mean of its divisors is an integer number (57953151810).

Almost surely, 2^{13770400600000} is an apocalyptic number.

13770400600000 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 13770400600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472259008160).

13770400600000 is an abundant number, since it is smaller than the sum of its proper divisors (25174117416320).

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

13770400600000 is a wasteful number, since it uses less digits than its factorization.

13770400600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 13770400600000 in words is "thirteen trillion, seven hundred seventy billion, four hundred million, six hundred thousand".