13365457920 has 352 divisors, whose sum is σ = 47988230400. Its totient is φ = 3527442432.

The previous prime is 13365457901. The next prime is 13365457921. The reversal of 13365457920 is 2975456331.

13365457920 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 54 + 579 + 20 = 666.

It is a super-2 number, since 2×13365457920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13365457921) 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, 15067717 + ... + 15068603.

It is an arithmetic number, because the mean of its divisors is an integer number (136330200).

Almost surely, 2^13365457920 is an apocalyptic number.

13365457920 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 13365457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23994115200).

13365457920 is an abundant number, since it is smaller than the sum of its proper divisors (34622772480).

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

13365457920 is a wasteful number, since it uses less digits than its factorization.

13365457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13365457920 in words is "thirteen billion, three hundred sixty-five million, four hundred fifty-seven thousand, nine hundred twenty".