5979969600 has 336 divisors, whose sum is σ = 21988491456. Its totient is φ = 1410048000.

The previous prime is 5979969557. The next prime is 5979969607. The reversal of 5979969600 is 69699795.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (5979969607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1952070 + ... + 1955130.

Almost surely, 2^5979969600 is an apocalyptic number.

5979969600 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 5979969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994245728).

5979969600 is an abundant number, since it is smaller than the sum of its proper divisors (16008521856).

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

5979969600 is a wasteful number, since it uses less digits than its factorization.

5979969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 60.

The square root of 5979969600 is about 77330.2631574470. The cubic root of 5979969600 is about 1815.0962466700.

It can be divided in two parts, 5979 and 969600, that added together give a palindrome (975579).

The spelling of 5979969600 in words is "five billion, nine hundred seventy-nine million, nine hundred sixty-nine thousand, six hundred".