13435503732672 has 672 divisors, whose sum is σ = 43341040120896. Its totient is φ = 3659223859200.

The previous prime is 13435503732671. The next prime is 13435503732689. The reversal of 13435503732672 is 27623730553431.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435503732671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3694115238 + ... + 3694118874.

It is an arithmetic number, because the mean of its divisors is an integer number (64495595418).

Almost surely, 2^{13435503732672} is an apocalyptic number.

13435503732672 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 13435503732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670520060448).

13435503732672 is an abundant number, since it is smaller than the sum of its proper divisors (29905536388224).

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

13435503732672 is a wasteful number, since it uses less digits than its factorization.

13435503732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 51.

The spelling of 13435503732672 in words is "thirteen trillion, four hundred thirty-five billion, five hundred three million, seven hundred thirty-two thousand, six hundred seventy-two".