5779406541888 has 672 divisors, whose sum is σ = 20219417137920. Its totient is φ = 1602398453760.

The previous prime is 5779406541833. The next prime is 5779406541919. The reversal of 5779406541888 is 8881456049775.

It is a happy number.

5779406541888 is a `hidden beast` number, since 5 + 7 + 79 + 4 + 0 + 6 + 541 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 861437478 + ... + 861444186.

It is an arithmetic number, because the mean of its divisors is an integer number (30088418360).

Almost surely, 2^{5779406541888} 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 5779406541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109708568960).

5779406541888 is an abundant number, since it is smaller than the sum of its proper divisors (14440010596032).

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

5779406541888 is a wasteful number, since it uses less digits than its factorization.

5779406541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 5779406541888 in words is "five trillion, seven hundred seventy-nine billion, four hundred six million, five hundred forty-one thousand, eight hundred eighty-eight".