5259674880 has 432 divisors, whose sum is σ = 19525955904. Its totient is φ = 1302528000.

The previous prime is 5259674879. The next prime is 5259674881. The reversal of 5259674880 is 884769525.

5259674880 is a `hidden beast` number, since 5 + 2 + 596 + 7 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5259674879) and next prime (5259674881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259674881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20954755 + ... + 20955005.

It is an arithmetic number, because the mean of its divisors is an integer number (45198972).

Almost surely, 2^5259674880 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 5259674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762977952).

5259674880 is an abundant number, since it is smaller than the sum of its proper divisors (14266281024).

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

5259674880 is a wasteful number, since it uses less digits than its factorization.

5259674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5259674880 is about 72523.6160157503. The cubic root of 5259674880 is about 1739.0802908093.

The spelling of 5259674880 in words is "five billion, two hundred fifty-nine million, six hundred seventy-four thousand, eight hundred eighty".