259751009952 has 240 divisors, whose sum is σ = 880785081792. Its totient is φ = 73557227520.

The previous prime is 259751009939. The next prime is 259751009957. The reversal of 259751009952 is 259900157952.

It is a happy number.

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 (259751009957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1986927 + ... + 2113617.

Almost surely, 2^259751009952 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 259751009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440392540896).

259751009952 is an abundant number, since it is smaller than the sum of its proper divisors (621034071840).

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

259751009952 is a wasteful number, since it uses less digits than its factorization.

259751009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126833 (or 126816 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 259751009952 in words is "two hundred fifty-nine billion, seven hundred fifty-one million, nine thousand, nine hundred fifty-two".