5485770178560 has 2592 divisors, whose sum is σ = 24801579915840. Its totient is φ = 1155790798848.

The previous prime is 5485770178549. The next prime is 5485770178573. The reversal of 5485770178560 is 658710775845.

5485770178560 is a `hidden beast` number, since 5 + 4 + 8 + 57 + 7 + 0 + 17 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148264058862 + ... + 148264058898.

It is an arithmetic number, because the mean of its divisors is an integer number (9568510770).

Almost surely, 2^{5485770178560} 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 5485770178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400789957920).

5485770178560 is an abundant number, since it is smaller than the sum of its proper divisors (19315809737280).

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

5485770178560 is an frugal number, since it uses more digits than its factorization.

5485770178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 65856000, while the sum is 63.

The spelling of 5485770178560 in words is "five trillion, four hundred eighty-five billion, seven hundred seventy million, one hundred seventy-eight thousand, five hundred sixty".