259170964416 has 840 divisors, whose sum is σ = 1004976721056. Its totient is φ = 64298188800.

The previous prime is 259170964373. The next prime is 259170964417. The reversal of 259170964416 is 614469071952.

259170964416 is a `hidden beast` number, since 2 + 59 + 170 + 9 + 6 + 4 + 416 = 666.

259170964416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259170964417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 136333066 + ... + 136334966.

Almost surely, 2^259170964416 is an apocalyptic number.

259170964416 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 259170964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502488360528).

259170964416 is an abundant number, since it is smaller than the sum of its proper divisors (745805756640).

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

259170964416 is a wasteful number, since it uses less digits than its factorization.

259170964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 259170964416 in words is "two hundred fifty-nine billion, one hundred seventy million, nine hundred sixty-four thousand, four hundred sixteen".