259145853120 has 1512 divisors, whose sum is σ = 1179717823440. Its totient is φ = 53613342720.

The previous prime is 259145853107. The next prime is 259145853139. The reversal of 259145853120 is 21358541952.

259145853120 is a `hidden beast` number, since 2 + 5 + 9 + 14 + 585 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×259145853120² (a number of 24 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 1131641166 + ... + 1131641394.

Almost surely, 2^259145853120 is an apocalyptic number.

259145853120 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 259145853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589858911720).

259145853120 is an abundant number, since it is smaller than the sum of its proper divisors (920571970320).

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

259145853120 is an equidigital number, since it uses as much as digits as its factorization.

259145853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 259145853120 in words is "two hundred fifty-nine billion, one hundred forty-five million, eight hundred fifty-three thousand, one hundred twenty".