13383752760 has 768 divisors, whose sum is σ = 55207526400. Its totient is φ = 2743372800.

The previous prime is 13383752737. The next prime is 13383752771. The reversal of 13383752760 is 6725738331.

13383752760 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 375 + 276 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105383817 + ... + 105383943.

It is an arithmetic number, because the mean of its divisors is an integer number (71884800).

Almost surely, 2^13383752760 is an apocalyptic number.

13383752760 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 13383752760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27603763200).

13383752760 is an abundant number, since it is smaller than the sum of its proper divisors (41823773640).

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

13383752760 is a wasteful number, since it uses less digits than its factorization.

13383752760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 13383752760 in words is "thirteen billion, three hundred eighty-three million, seven hundred fifty-two thousand, seven hundred sixty".