5122008864 has 384 divisors, whose sum is σ = 17944657920. Its totient is φ = 1390722048.

The previous prime is 5122008811. The next prime is 5122008869. The reversal of 5122008864 is 4688002215.

5122008864 is a `hidden beast` number, since 512 + 2 + 0 + 0 + 88 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5122008869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10517229 + ... + 10517715.

It is an arithmetic number, because the mean of its divisors is an integer number (46730880).

Almost surely, 2^5122008864 is an apocalyptic number.

5122008864 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 5122008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972328960).

5122008864 is an abundant number, since it is smaller than the sum of its proper divisors (12822649056).

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

5122008864 is a wasteful number, since it uses less digits than its factorization.

5122008864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5122008864 is about 71568.2112672938. The cubic root of 5122008864 is about 1723.7731374618.

The spelling of 5122008864 in words is "five billion, one hundred twenty-two million, eight thousand, eight hundred sixty-four".