259023801960 has 1152 divisors, whose sum is σ = 1115526297600. Its totient is φ = 51480576000.

The previous prime is 259023801923. The next prime is 259023801997. The reversal of 259023801960 is 69108320952.

259023801960 is a `hidden beast` number, since 259 + 0 + 2 + 380 + 19 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (259023801923) and next prime (259023801997).

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 287 ways as a sum of consecutive naturals, for example, 1074787440 + ... + 1074787680.

It is an arithmetic number, because the mean of its divisors is an integer number (968338800).

Almost surely, 2^259023801960 is an apocalyptic number.

259023801960 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 259023801960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557763148800).

259023801960 is an abundant number, since it is smaller than the sum of its proper divisors (856502495640).

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

259023801960 is a wasteful number, since it uses less digits than its factorization.

259023801960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 259023801960 in words is "two hundred fifty-nine billion, twenty-three million, eight hundred one thousand, nine hundred sixty".