5911777872 has 960 divisors, whose sum is σ = 24265113600. Its totient is φ = 1371686400.

The previous prime is 5911777847. The next prime is 5911777873. The reversal of 5911777872 is 2787771195.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (5911777873) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 190702497 + ... + 190702527.

It is an arithmetic number, because the mean of its divisors is an integer number (25276160).

Almost surely, 2^5911777872 is an apocalyptic number.

5911777872 is a gapful number since it is divisible by the number (52) 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 5911777872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132556800).

5911777872 is an abundant number, since it is smaller than the sum of its proper divisors (18353335728).

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

5911777872 is a wasteful number, since it uses less digits than its factorization.

5911777872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 54.

The square root of 5911777872 is about 76888.0866714734. The cubic root of 5911777872 is about 1808.1704570148.

The spelling of 5911777872 in words is "five billion, nine hundred eleven million, seven hundred seventy-seven thousand, eight hundred seventy-two".