259655155200 has 1800 divisors, whose sum is σ = 1181112629400. Its totient is φ = 56017059840.

The previous prime is 259655155153. The next prime is 259655155261. The reversal of 259655155200 is 2551556952.

259655155200 is a `hidden beast` number, since 2 + 5 + 96 + 5 + 5 + 1 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 965260666 + ... + 965260934.

It is an arithmetic number, because the mean of its divisors is an integer number (656173683).

Almost surely, 2^259655155200 is an apocalyptic number.

259655155200 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 259655155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590556314700).

259655155200 is an abundant number, since it is smaller than the sum of its proper divisors (921457474200).

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

259655155200 is a wasteful number, since it uses less digits than its factorization.

259655155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 259655155200 in words is "two hundred fifty-nine billion, six hundred fifty-five million, one hundred fifty-five thousand, two hundred".