259974852480 has 768 divisors, whose sum is σ = 1086822696960. Its totient is φ = 58147061760.

The previous prime is 259974852469. The next prime is 259974852481. The reversal of 259974852480 is 84258479952.

259974852480 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 74 + 85 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259974852481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51163540 + ... + 51168620.

It is an arithmetic number, because the mean of its divisors is an integer number (1415133720).

Almost surely, 2^259974852480 is an apocalyptic number.

259974852480 is a gapful number since it is divisible by the number (20) 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 259974852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543411348480).

259974852480 is an abundant number, since it is smaller than the sum of its proper divisors (826847844480).

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

259974852480 is an equidigital number, since it uses as much as digits as its factorization.

259974852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 259974852480 in words is "two hundred fifty-nine billion, nine hundred seventy-four million, eight hundred fifty-two thousand, four hundred eighty".