5478386780160 has 1536 divisors, whose sum is σ = 23280566400000. Its totient is φ = 1220794122240.

The previous prime is 5478386780143. The next prime is 5478386780161. The reversal of 5478386780160 is 610876838745.

5478386780160 is a `hidden beast` number, since 5 + 478 + 3 + 86 + 7 + 80 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5478386780161) 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, 3888137536 + ... + 3888138944.

It is an arithmetic number, because the mean of its divisors is an integer number (15156618750).

Almost surely, 2^{5478386780160} 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 5478386780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640283200000).

5478386780160 is an abundant number, since it is smaller than the sum of its proper divisors (17802179619840).

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

5478386780160 is a wasteful number, since it uses less digits than its factorization.

5478386780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 5478386780160 in words is "five trillion, four hundred seventy-eight billion, three hundred eighty-six million, seven hundred eighty thousand, one hundred sixty".