259473557760 has 576 divisors, whose sum is σ = 901939691520. Its totient is φ = 63355944960.

The previous prime is 259473557731. The next prime is 259473557767. The reversal of 259473557760 is 67755374952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 259473557694 and 259473557703.

It is not an unprimeable number, because it can be changed into a prime (259473557767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379902379 + ... + 379903061.

It is an arithmetic number, because the mean of its divisors is an integer number (1565867520).

Almost surely, 2^259473557760 is an apocalyptic number.

259473557760 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 259473557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450969845760).

259473557760 is an abundant number, since it is smaller than the sum of its proper divisors (642466133760).

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

259473557760 is a wasteful number, since it uses less digits than its factorization.

259473557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 60.

The spelling of 259473557760 in words is "two hundred fifty-nine billion, four hundred seventy-three million, five hundred fifty-seven thousand, seven hundred sixty".