4259520000 has 800 divisors, whose sum is σ = 17257600800. Its totient is φ = 1032192000.

The previous prime is 4259519993. The next prime is 4259520091. The reversal of 4259520000 is 259524.

4259520000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146879986 + ... + 146880014.

It is an arithmetic number, because the mean of its divisors is an integer number (21572001).

Almost surely, 2^4259520000 is an apocalyptic number.

4259520000 is a gapful number since it is divisible by the number (40) 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 4259520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628800400).

4259520000 is an abundant number, since it is smaller than the sum of its proper divisors (12998080800).

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

4259520000 is an equidigital number, since it uses as much as digits as its factorization.

4259520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4259520000 is about 65264.9982762583. The cubic root of 4259520000 is about 1621.0144537736.

Adding to 4259520000 its reverse (259524), we get a palindrome (4259779524).

The spelling of 4259520000 in words is "four billion, two hundred fifty-nine million, five hundred twenty thousand".