259264128801600 has 2016 divisors, whose sum is σ = 1065744010240000. Its totient is φ = 61561285632000.

The previous prime is 259264128801599. The next prime is 259264128801641. The reversal of 259264128801600 is 6108821462952.

259264128801600 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 6 + 4 + 1 + 28 + 8 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51863195901 + ... + 51863200899.

Almost surely, 2^{259264128801600} is an apocalyptic number.

259264128801600 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 259264128801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532872005120000).

259264128801600 is an abundant number, since it is smaller than the sum of its proper divisors (806479881438400).

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

259264128801600 is a wasteful number, since it uses less digits than its factorization.

259264128801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 259264128801600 in words is "two hundred fifty-nine trillion, two hundred sixty-four billion, one hundred twenty-eight million, eight hundred one thousand, six hundred".