5459777568 has 288 divisors, whose sum is σ = 19167321600. Its totient is φ = 1505806848.

The previous prime is 5459777551. The next prime is 5459777573. The reversal of 5459777568 is 8657779545.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1225521 + ... + 1229967.

It is an arithmetic number, because the mean of its divisors is an integer number (66553200).

Almost surely, 2^5459777568 is an apocalyptic number.

5459777568 is a gapful number since it is divisible by the number (58) 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 5459777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583660800).

5459777568 is an abundant number, since it is smaller than the sum of its proper divisors (13707544032).

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

5459777568 is a wasteful number, since it uses less digits than its factorization.

5459777568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4488 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 63.

The square root of 5459777568 is about 73890.3076729283. The cubic root of 5459777568 is about 1760.8606293643.

The spelling of 5459777568 in words is "five billion, four hundred fifty-nine million, seven hundred seventy-seven thousand, five hundred sixty-eight".