259233268140 has 432 divisors, whose sum is σ = 999238784544. Its totient is φ = 53793331200.

The previous prime is 259233268093. The next prime is 259233268163. The reversal of 259233268140 is 41862332952.

259233268140 is a `hidden beast` number, since 2 + 592 + 33 + 26 + 8 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99056112 + ... + 99058728.

It is an arithmetic number, because the mean of its divisors is an integer number (2313052742).

Almost surely, 2^259233268140 is an apocalyptic number.

259233268140 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 259233268140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499619392272).

259233268140 is an abundant number, since it is smaller than the sum of its proper divisors (740005516404).

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

259233268140 is a wasteful number, since it uses less digits than its factorization.

259233268140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 259233268140 in words is "two hundred fifty-nine billion, two hundred thirty-three million, two hundred sixty-eight thousand, one hundred forty".