5777861544 has 512 divisors, whose sum is σ = 21159936000. Its totient is φ = 1436071680.

The previous prime is 5777861543. The next prime is 5777861569. The reversal of 5777861544 is 4451687775.

5777861544 is a `hidden beast` number, since 577 + 7 + 8 + 61 + 5 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5777861543) 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, 30250489 + ... + 30250679.

It is an arithmetic number, because the mean of its divisors is an integer number (41328000).

Almost surely, 2^5777861544 is an apocalyptic number.

5777861544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5777861544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579968000).

5777861544 is an abundant number, since it is smaller than the sum of its proper divisors (15382074456).

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

5777861544 is a wasteful number, since it uses less digits than its factorization.

5777861544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The square root of 5777861544 is about 76012.2460133892. The cubic root of 5777861544 is about 1794.4128757446.

The spelling of 5777861544 in words is "five billion, seven hundred seventy-seven million, eight hundred sixty-one thousand, five hundred forty-four".