13985360363520 has 4800 divisors, whose sum is σ = 69059959879680. Its totient is φ = 2623461654528.

The previous prime is 13985360363519. The next prime is 13985360363537. The reversal of 13985360363520 is 2536306358931.

13985360363520 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 5 + 3 + 603 + 6 + 3 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 263874723814 + ... + 263874723866.

Almost surely, 2^{13985360363520} is an apocalyptic number.

13985360363520 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 13985360363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34529979939840).

13985360363520 is an abundant number, since it is smaller than the sum of its proper divisors (55074599516160).

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

13985360363520 is a wasteful number, since it uses less digits than its factorization.

13985360363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 13985360363520 in words is "thirteen trillion, nine hundred eighty-five billion, three hundred sixty million, three hundred sixty-three thousand, five hundred twenty".