259070547090432 has 2816 divisors, whose sum is σ = 1002418716672000. Its totient is φ = 57364866662400.

The previous prime is 259070547090349. The next prime is 259070547090457. The reversal of 259070547090432 is 234090745070952.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 210797840794 + ... + 210797842022.

Almost surely, 2^{259070547090432} is an apocalyptic number.

259070547090432 is a gapful number since it is divisible by the number (22) 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 259070547090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501209358336000).

259070547090432 is an abundant number, since it is smaller than the sum of its proper divisors (743348169581568).

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

259070547090432 is a wasteful number, since it uses less digits than its factorization.

259070547090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 259070547090432 in words is "two hundred fifty-nine trillion, seventy billion, five hundred forty-seven million, ninety thousand, four hundred thirty-two".