259985246400 has 1260 divisors, whose sum is σ = 1072019745720. Its totient is φ = 61737984000.

The previous prime is 259985246393. The next prime is 259985246401. The reversal of 259985246400 is 4642589952.

259985246400 is a `hidden beast` number, since 2 + 59 + 9 + 8 + 524 + 64 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (259985246401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 925214260 + ... + 925214540.

It is an arithmetic number, because the mean of its divisors is an integer number (850809322).

Almost surely, 2^259985246400 is an apocalyptic number.

259985246400 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 259985246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536009872860).

259985246400 is an abundant number, since it is smaller than the sum of its proper divisors (812034499320).

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

259985246400 is a wasteful number, since it uses less digits than its factorization.

259985246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 259985246400 in words is "two hundred fifty-nine billion, nine hundred eighty-five million, two hundred forty-six thousand, four hundred".