5978103264 has 192 divisors, whose sum is σ = 20174676480. Its totient is φ = 1707889536.

The previous prime is 5978103223. The next prime is 5978103269. The reversal of 5978103264 is 4623018795.

5978103264 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5978103264 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5978103269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483787 + ... + 495989.

It is an arithmetic number, because the mean of its divisors is an integer number (105076440).

It is a 1-persistent number, because it is pandigital, but 2⋅5978103264 = 11956206528 is not.

Almost surely, 2^5978103264 is an apocalyptic number.

5978103264 is a gapful number since it is divisible by the number (54) 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 5978103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10087338240).

5978103264 is an abundant number, since it is smaller than the sum of its proper divisors (14196573216).

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

5978103264 is an equidigital number, since it uses as much as digits as its factorization.

5978103264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12241 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5978103264 is about 77318.1949090898. The cubic root of 5978103264 is about 1814.9073977753.

The spelling of 5978103264 in words is "five billion, nine hundred seventy-eight million, one hundred three thousand, two hundred sixty-four".