5295879680 has 320 divisors, whose sum is σ = 15838986240. Its totient is φ = 1653571584.

The previous prime is 5295879679. The next prime is 5295879683. The reversal of 5295879680 is 869785925.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5295879683) 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, 29585831 + ... + 29586009.

It is an arithmetic number, because the mean of its divisors is an integer number (49496832).

Almost surely, 2^5295879680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5295879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

5295879680 is an abundant number, since it is smaller than the sum of its proper divisors (10543106560).

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

5295879680 is a wasteful number, since it uses less digits than its factorization.

5295879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 59.

The square root of 5295879680 is about 72772.7949167819. The cubic root of 5295879680 is about 1743.0614707269.

The spelling of 5295879680 in words is "five billion, two hundred ninety-five million, eight hundred seventy-nine thousand, six hundred eighty".