4959360000 has 880 divisors, whose sum is σ = 21486622080. Its totient is φ = 1105920000.

The previous prime is 4959359971. The next prime is 4959360017. The reversal of 4959360000 is 639594.

4959360000 is a `hidden beast` number, since 4 + 9 + 593 + 60 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959980 + ... + 120960020.

It is an arithmetic number, because the mean of its divisors is an integer number (24416616).

Almost surely, 2^4959360000 is an apocalyptic number.

4959360000 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 4959360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743311040).

4959360000 is an abundant number, since it is smaller than the sum of its proper divisors (16527262080).

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

4959360000 is an equidigital number, since it uses as much as digits as its factorization.

4959360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4959360000 is about 70422.7236053818. The cubic root of 4959360000 is about 1705.3304428003.

Adding to 4959360000 its reverse (639594), we get a palindrome (4959999594).

The spelling of 4959360000 in words is "four billion, nine hundred fifty-nine million, three hundred sixty thousand".