5128153920 has 336 divisors, whose sum is σ = 18486973440. Its totient is φ = 1303142400.

The previous prime is 5128153883. The next prime is 5128153931. The reversal of 5128153920 is 293518215.

5128153920 is a `hidden beast` number, since 512 + 8 + 1 + 53 + 92 + 0 = 666.

It is a super-2 number, since 2×5128153920² = 52595925254422732800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6338476 + ... + 6339284.

Almost surely, 2^5128153920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5128153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243486720).

5128153920 is an abundant number, since it is smaller than the sum of its proper divisors (13358819520).

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

5128153920 is a wasteful number, since it uses less digits than its factorization.

5128153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5128153920 is about 71611.1298612164. The cubic root of 5128153920 is about 1724.4622192540.

The spelling of 5128153920 in words is "five billion, one hundred twenty-eight million, one hundred fifty-three thousand, nine hundred twenty".