259063262640 has 1920 divisors, whose sum is σ = 1195923456000. Its totient is φ = 49746493440.

The previous prime is 259063262597. The next prime is 259063262651. The reversal of 259063262640 is 46262360952.

259063262640 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 632 + 6 + 2 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×259063262640² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1890972652 + ... + 1890972788.

It is an arithmetic number, because the mean of its divisors is an integer number (622876800).

Almost surely, 2^259063262640 is an apocalyptic number.

259063262640 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 259063262640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597961728000).

259063262640 is an abundant number, since it is smaller than the sum of its proper divisors (936860193360).

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

259063262640 is a wasteful number, since it uses less digits than its factorization.

259063262640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 259063262640 in words is "two hundred fifty-nine billion, sixty-three million, two hundred sixty-two thousand, six hundred forty".