13306400363520 has 528 divisors, whose sum is σ = 52484722872192. Its totient is φ = 3085539409920.

The previous prime is 13306400363519. The next prime is 13306400363521. The reversal of 13306400363520 is 2536300460331.

13306400363520 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 640 + 0 + 3 + 6 + 3 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13306400363519) and next prime (13306400363521).

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13306400363521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11087554 + ... + 12228926.

Almost surely, 2^{13306400363520} is an apocalyptic number.

13306400363520 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 13306400363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26242361436096).

13306400363520 is an abundant number, since it is smaller than the sum of its proper divisors (39178322508672).

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

13306400363520 is a wasteful number, since it uses less digits than its factorization.

13306400363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141438 (or 1141417 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 13306400363520 in words is "thirteen trillion, three hundred six billion, four hundred million, three hundred sixty-three thousand, five hundred twenty".