5378578601760 has 1728 divisors, whose sum is σ = 24155651520000. Its totient is φ = 1120048570368.

The previous prime is 5378578601729. The next prime is 5378578601779. The reversal of 5378578601760 is 671068758735.

5378578601760 is a `hidden beast` number, since 53 + 7 + 8 + 578 + 6 + 0 + 1 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1956556866 + ... + 1956559614.

It is an arithmetic number, because the mean of its divisors is an integer number (13978965000).

Almost surely, 2^{5378578601760} 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 5378578601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077825760000).

5378578601760 is an abundant number, since it is smaller than the sum of its proper divisors (18777072918240).

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

5378578601760 is a wasteful number, since it uses less digits than its factorization.

5378578601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 5378578601760 in words is "five trillion, three hundred seventy-eight billion, five hundred seventy-eight million, six hundred one thousand, seven hundred sixty".