13035943488480 has 768 divisors, whose sum is σ = 47188938424320. Its totient is φ = 2995975987200.

The previous prime is 13035943488461. The next prime is 13035943488497. The reversal of 13035943488480 is 8488434953031.

It is a super-2 number, since 2×13035943488480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2964733642 + ... + 2964738038.

It is an arithmetic number, because the mean of its divisors is an integer number (61443930240).

Almost surely, 2^{13035943488480} is an apocalyptic number.

13035943488480 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 13035943488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23594469212160).

13035943488480 is an abundant number, since it is smaller than the sum of its proper divisors (34152994935840).

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

13035943488480 is a wasteful number, since it uses less digits than its factorization.

13035943488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 13035943488480 in words is "thirteen trillion, thirty-five billion, nine hundred forty-three million, four hundred eighty-eight thousand, four hundred eighty".