13601754720 has 288 divisors, whose sum is σ = 48593405952. Its totient is φ = 3458036736.

The previous prime is 13601754679. The next prime is 13601754731. The reversal of 13601754720 is 2745710631.

It is a happy number.

13601754720 is a `hidden beast` number, since 1 + 3 + 601 + 7 + 5 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15334117 + ... + 15335003.

It is an arithmetic number, because the mean of its divisors is an integer number (168727104).

Almost surely, 2^13601754720 is an apocalyptic number.

13601754720 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 13601754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24296702976).

13601754720 is an abundant number, since it is smaller than the sum of its proper divisors (34991651232).

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

13601754720 is a wasteful number, since it uses less digits than its factorization.

13601754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13601754720 in words is "thirteen billion, six hundred one million, seven hundred fifty-four thousand, seven hundred twenty".