259604069400 has 288 divisors, whose sum is σ = 964280313360. Its totient is φ = 62175237120.

The previous prime is 259604069399. The next prime is 259604069423. The reversal of 259604069400 is 4960406952.

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 71 ways as a sum of consecutive naturals, for example, 715879 + ... + 1015721.

Almost surely, 2^259604069400 is an apocalyptic number.

259604069400 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 259604069400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482140156680).

259604069400 is an abundant number, since it is smaller than the sum of its proper divisors (704676243960).

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

259604069400 is a wasteful number, since it uses less digits than its factorization.

259604069400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299915 (or 299903 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 259604069400 in words is "two hundred fifty-nine billion, six hundred four million, sixty-nine thousand, four hundred".