13758505533696 has 576 divisors, whose sum is σ = 47075911464960. Its totient is φ = 3463901675520.

The previous prime is 13758505533649. The next prime is 13758505533719. The reversal of 13758505533696 is 69633550585731.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 260112820 + ... + 260165708.

It is an arithmetic number, because the mean of its divisors is an integer number (81729012960).

Almost surely, 2^{13758505533696} is an apocalyptic number.

13758505533696 is a gapful number since it is divisible by the number (16) 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 13758505533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23537955732480).

13758505533696 is an abundant number, since it is smaller than the sum of its proper divisors (33317405931264).

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

13758505533696 is a wasteful number, since it uses less digits than its factorization.

13758505533696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53062 (or 53048 counting only the distinct ones).

The product of its (nonzero) digits is 306180000, while the sum is 66.

The spelling of 13758505533696 in words is "thirteen trillion, seven hundred fifty-eight billion, five hundred five million, five hundred thirty-three thousand, six hundred ninety-six".