259500157152 has 192 divisors, whose sum is σ = 723018481920. Its totient is φ = 81266540544.

The previous prime is 259500157127. The next prime is 259500157181. The reversal of 259500157152 is 251751005952.

It is a super-2 number, since 2×259500157152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225064608 + ... + 225065760.

It is an arithmetic number, because the mean of its divisors is an integer number (3765721260).

Almost surely, 2^259500157152 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 259500157152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361509240960).

259500157152 is an abundant number, since it is smaller than the sum of its proper divisors (463518324768).

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

259500157152 is a wasteful number, since it uses less digits than its factorization.

259500157152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 42.

The spelling of 259500157152 in words is "two hundred fifty-nine billion, five hundred million, one hundred fifty-seven thousand, one hundred fifty-two".