13355072640 has 1280 divisors, whose sum is σ = 62203680000. Its totient is φ = 2651553792.

The previous prime is 13355072609. The next prime is 13355072657. The reversal of 13355072640 is 4627055331.

13355072640 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 0 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13355072595 and 13355072604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89631286 + ... + 89631434.

It is an arithmetic number, because the mean of its divisors is an integer number (48596625).

Almost surely, 2^13355072640 is an apocalyptic number.

13355072640 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 13355072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31101840000).

13355072640 is an abundant number, since it is smaller than the sum of its proper divisors (48848607360).

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

13355072640 is a wasteful number, since it uses less digits than its factorization.

13355072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 13355072640 in words is "thirteen billion, three hundred fifty-five million, seventy-two thousand, six hundred forty".