5026129920 has 768 divisors, whose sum is σ = 21228480000. Its totient is φ = 1127153664.

The previous prime is 5026129891. The next prime is 5026129921. The reversal of 5026129920 is 299216205.

It is a happy number.

5026129920 is a `hidden beast` number, since 502 + 6 + 129 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (5026129921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94832614 + ... + 94832666.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 2^5026129920 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 5026129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240000).

5026129920 is an abundant number, since it is smaller than the sum of its proper divisors (16202350080).

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

5026129920 is an equidigital number, since it uses as much as digits as its factorization.

5026129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5026129920 is about 70895.2037869982. The cubic root of 5026129920 is about 1712.9495416693.

The spelling of 5026129920 in words is "five billion, twenty-six million, one hundred twenty-nine thousand, nine hundred twenty".