13627404363120 has 1280 divisors, whose sum is σ = 48385840250880. Its totient is φ = 3156030259200.

The previous prime is 13627404363119. The next prime is 13627404363121. The reversal of 13627404363120 is 2136340472631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13627404363119) and next prime (13627404363121).

It is a super-2 number, since 2×13627404363120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13627404363121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56545246200 + ... + 56545246440.

It is an arithmetic number, because the mean of its divisors is an integer number (37801437696).

Almost surely, 2^{13627404363120} is an apocalyptic number.

13627404363120 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 13627404363120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192920125440).

13627404363120 is an abundant number, since it is smaller than the sum of its proper divisors (34758435887760).

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

13627404363120 is a wasteful number, since it uses less digits than its factorization.

13627404363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 13627404363120 in words is "thirteen trillion, six hundred twenty-seven billion, four hundred four million, three hundred sixty-three thousand, one hundred twenty".