13454385120 has 576 divisors, whose sum is σ = 52531524864. Its totient is φ = 3224862720.

The previous prime is 13454385107. The next prime is 13454385121. The reversal of 13454385120 is 2158345431.

13454385120 is a `hidden beast` number, since 1 + 3 + 454 + 3 + 85 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13454385121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69711744 + ... + 69711936.

It is an arithmetic number, because the mean of its divisors is an integer number (91200564).

Almost surely, 2^13454385120 is an apocalyptic number.

13454385120 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 13454385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265762432).

13454385120 is an abundant number, since it is smaller than the sum of its proper divisors (39077139744).

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

13454385120 is a wasteful number, since it uses less digits than its factorization.

13454385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13454385120 in words is "thirteen billion, four hundred fifty-four million, three hundred eighty-five thousand, one hundred twenty".