13483568132640 has 192 divisors, whose sum is σ = 47208878680320. Its totient is φ = 3594369392640.

The previous prime is 13483568132633. The next prime is 13483568132641. The reversal of 13483568132640 is 4623186538431.

13483568132640 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 3 + 568 + 1 + 32 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13483568132641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11931280 + ... + 13012400.

It is an arithmetic number, because the mean of its divisors is an integer number (245879576460).

Almost surely, 2^{13483568132640} is an apocalyptic number.

13483568132640 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 13483568132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23604439340160).

13483568132640 is an abundant number, since it is smaller than the sum of its proper divisors (33725310547680).

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

13483568132640 is a wasteful number, since it uses less digits than its factorization.

13483568132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084032 (or 1084018 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 13483568132640 in words is "thirteen trillion, four hundred eighty-three billion, five hundred sixty-eight million, one hundred thirty-two thousand, six hundred forty".