5110820064 has 480 divisors, whose sum is σ = 18464979456. Its totient is φ = 1354890240.

The previous prime is 5110820063. The next prime is 5110820123. The reversal of 5110820064 is 4600280115.

It is a super-2 number, since 2×5110820064² = 52240963453169928192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110820063) 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 79 ways as a sum of consecutive naturals, for example, 15440379 + ... + 15440709.

Almost surely, 2^5110820064 is an apocalyptic number.

5110820064 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 5110820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232489728).

5110820064 is an abundant number, since it is smaller than the sum of its proper divisors (13354159392).

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

5110820064 is a wasteful number, since it uses less digits than its factorization.

5110820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5110820064 is about 71489.9997482165. Note that the first 3 decimals coincide. The cubic root of 5110820064 is about 1722.5170538762.

The spelling of 5110820064 in words is "five billion, one hundred ten million, eight hundred twenty thousand, sixty-four".