259761234096 has 1120 divisors, whose sum is σ = 979265323008. Its totient is φ = 64900362240.

The previous prime is 259761234091. The next prime is 259761234097. The reversal of 259761234096 is 690432167952.

259761234096 is a `hidden beast` number, since 2 + 597 + 6 + 1 + 2 + 3 + 40 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (259761234091) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2045363985 + ... + 2045364111.

Almost surely, 2^259761234096 is an apocalyptic number.

259761234096 is a gapful number since it is divisible by the number (26) 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 259761234096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489632661504).

259761234096 is an abundant number, since it is smaller than the sum of its proper divisors (719504088912).

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

259761234096 is a wasteful number, since it uses less digits than its factorization.

259761234096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 259761234096 in words is "two hundred fifty-nine billion, seven hundred sixty-one million, two hundred thirty-four thousand, ninety-six".