4956160000 has 255 divisors, whose sum is σ = 13614737983. Its totient is φ = 1802240000.

The previous prime is 4956159961. The next prime is 4956160057. The reversal of 4956160000 is 616594.

The square root of 4956160000 is 70400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 388562944 + 4567597056 = 19712^2 + 67584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 450559995 + ... + 450560005.

Almost surely, 2^4956160000 is an apocalyptic number.

4956160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4956160000 is the 70400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4956160000

4956160000 is an abundant number, since it is smaller than the sum of its proper divisors (8658577983).

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

4956160000 is an frugal number, since it uses more digits than its factorization.

4956160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 4956160000 is about 1704.9635788266.

Adding to 4956160000 its reverse (616594), we get a palindrome (4956776594).

It can be divided in two parts, 49561 and 60000, that added together give a square (109561 = 331²).

The spelling of 4956160000 in words is "four billion, nine hundred fifty-six million, one hundred sixty thousand".