13753284369552 has 720 divisors, whose sum is σ = 50091327074880. Its totient is φ = 3620922891264.

The previous prime is 13753284369541. The next prime is 13753284369589. The reversal of 13753284369552 is 25596348235731.

13753284369552 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 32 + 8 + 43 + 6 + 9 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13753284369552.

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 143 ways as a sum of consecutive naturals, for example, 1518185599 + ... + 1518194657.

It is an arithmetic number, because the mean of its divisors is an integer number (69571287604).

Almost surely, 2^{13753284369552} is an apocalyptic number.

13753284369552 is a gapful number since it is divisible by the number (12) 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 13753284369552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25045663537440).

13753284369552 is an abundant number, since it is smaller than the sum of its proper divisors (36338042705328).

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

13753284369552 is a wasteful number, since it uses less digits than its factorization.

13753284369552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9697 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 13753284369552 in words is "thirteen trillion, seven hundred fifty-three billion, two hundred eighty-four million, three hundred sixty-nine thousand, five hundred fifty-two".