13435379580672 has 1512 divisors, whose sum is σ = 50118011381760. Its totient is φ = 3515503472640.

The previous prime is 13435379580671. The next prime is 13435379580677. The reversal of 13435379580672 is 27608597353431.

13435379580672 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 537 + 95 + 8 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-3 number, since 3×13435379580672³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435379580671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14619563829 + ... + 14619564747.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13435379580672 = 26870759161344, but 3⋅13435379580672 = 40306138742016 is not.

Almost surely, 2^{13435379580672} is an apocalyptic number.

13435379580672 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 13435379580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059005690880).

13435379580672 is an abundant number, since it is smaller than the sum of its proper divisors (36682631801088).

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

13435379580672 is an frugal number, since it uses more digits than its factorization.

13435379580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 13435379580672 in words is "thirteen trillion, four hundred thirty-five billion, three hundred seventy-nine million, five hundred eighty thousand, six hundred seventy-two".