5129220096 has 624 divisors, whose sum is σ = 20035841280. Its totient is φ = 1220935680.

The previous prime is 5129220091. The next prime is 5129220113. The reversal of 5129220096 is 6900229215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5129220096.

It is not an unprimeable number, because it can be changed into a prime (5129220091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36900795 + ... + 36900933.

It is an arithmetic number, because the mean of its divisors is an integer number (32108720).

Almost surely, 2^5129220096 is an apocalyptic number.

5129220096 is a gapful number since it is divisible by the number (56) 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 5129220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017920640).

5129220096 is an abundant number, since it is smaller than the sum of its proper divisors (14906621184).

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

5129220096 is a wasteful number, since it uses less digits than its factorization.

5129220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

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

The square root of 5129220096 is about 71618.5736802961. The cubic root of 5129220096 is about 1724.5817198812.

The spelling of 5129220096 in words is "five billion, one hundred twenty-nine million, two hundred twenty thousand, ninety-six".