259742576368080 has 800 divisors, whose sum is σ = 984155245032960. Its totient is φ = 63105566883840.

The previous prime is 259742576368019. The next prime is 259742576368097. The reversal of 259742576368080 is 80863675247952.

259742576368080 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 4 + 257 + 6 + 368 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28223680759 + ... + 28223689961.

Almost surely, 2^{259742576368080} is an apocalyptic number.

259742576368080 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 259742576368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492077622516480).

259742576368080 is an abundant number, since it is smaller than the sum of its proper divisors (724412668664880).

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

259742576368080 is a wasteful number, since it uses less digits than its factorization.

259742576368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 259742576368080 in words is "two hundred fifty-nine trillion, seven hundred forty-two billion, five hundred seventy-six million, three hundred sixty-eight thousand, eighty".