13356645120 has 1152 divisors, whose sum is σ = 60656762880. Its totient is φ = 2707292160.

The previous prime is 13356645109. The next prime is 13356645121. The reversal of 13356645120 is 2154665331.

13356645120 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 6 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13356645121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493692 + ... + 97493828.

It is an arithmetic number, because the mean of its divisors is an integer number (52653440).

Almost surely, 2^13356645120 is an apocalyptic number.

13356645120 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 13356645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30328381440).

13356645120 is an abundant number, since it is smaller than the sum of its proper divisors (47300117760).

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

13356645120 is a wasteful number, since it uses less digits than its factorization.

13356645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13356645120 in words is "thirteen billion, three hundred fifty-six million, six hundred forty-five thousand, one hundred twenty".