5209920000 has 600 divisors, whose sum is σ = 19775932176. Its totient is φ = 1368576000.

The previous prime is 5209919993. The next prime is 5209920007. The reversal of 5209920000 is 299025.

It is an interprime number because it is at equal distance from previous prime (5209919993) and next prime (5209920007).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (5209920007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77759967 + ... + 77760033.

Almost surely, 2^5209920000 is an apocalyptic number.

5209920000 is a gapful number since it is divisible by the number (50) 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 5209920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887966088).

5209920000 is an abundant number, since it is smaller than the sum of its proper divisors (14566012176).

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

5209920000 is an frugal number, since it uses more digits than its factorization.

5209920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5209920000 is about 72179.7755607483. The cubic root of 5209920000 is about 1733.5791893207.

The spelling of 5209920000 in words is "five billion, two hundred nine million, nine hundred twenty thousand".