5181455485440 has 1920 divisors, whose sum is σ = 21214837163520. Its totient is φ = 1202419924992.

The previous prime is 5181455485439. The next prime is 5181455485441. The reversal of 5181455485440 is 445845541815.

5181455485440 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 4 + 5 + 548 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5181455485439) and next prime (5181455485441).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5181455485441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16554170724 + ... + 16554171036.

It is an arithmetic number, because the mean of its divisors is an integer number (11049394356).

Almost surely, 2^{5181455485440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181455485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10607418581760).

5181455485440 is an abundant number, since it is smaller than the sum of its proper divisors (16033381678080).

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

5181455485440 is a wasteful number, since it uses less digits than its factorization.

5181455485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 10240000, while the sum is 54.

The spelling of 5181455485440 in words is "five trillion, one hundred eighty-one billion, four hundred fifty-five million, four hundred eighty-five thousand, four hundred forty".