5778205515360 has 1296 divisors, whose sum is σ = 22411165323456. Its totient is φ = 1402259890176.

The previous prime is 5778205515337. The next prime is 5778205515389. The reversal of 5778205515360 is 635155028775.

5778205515360 is a `hidden beast` number, since 5 + 7 + 7 + 8 + 20 + 551 + 5 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a junction number, because it is equal to n+sod(n) for n = 5778205515297 and 5778205515306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69616933879 + ... + 69616933961.

It is an arithmetic number, because the mean of its divisors is an integer number (17292565836).

Almost surely, 2^{5778205515360} 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 5778205515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205582661728).

5778205515360 is an abundant number, since it is smaller than the sum of its proper divisors (16632959808096).

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

5778205515360 is an frugal number, since it uses more digits than its factorization.

5778205515360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 5778205515360 in words is "five trillion, seven hundred seventy-eight billion, two hundred five million, five hundred fifteen thousand, three hundred sixty".