259981302672 has 480 divisors, whose sum is σ = 932816684800. Its totient is φ = 68259594240.

The previous prime is 259981302643. The next prime is 259981302673. The reversal of 259981302672 is 276203189952.

259981302672 is a `hidden beast` number, since 259 + 9 + 81 + 302 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (259981302673) 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, 85266204 + ... + 85269252.

Almost surely, 2^259981302672 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 259981302672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466408342400).

259981302672 is an abundant number, since it is smaller than the sum of its proper divisors (672835382128).

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

259981302672 is a wasteful number, since it uses less digits than its factorization.

259981302672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 259981302672 in words is "two hundred fifty-nine billion, nine hundred eighty-one million, three hundred two thousand, six hundred seventy-two".