259435142400 has 1296 divisors, whose sum is σ = 1059618430080. Its totient is φ = 54716006400.

The previous prime is 259435142399. The next prime is 259435142413. The reversal of 259435142400 is 4241534952.

It is a super-2 number, since 2×259435142400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2915001556 + ... + 2915001644.

Almost surely, 2^259435142400 is an apocalyptic number.

259435142400 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 259435142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529809215040).

259435142400 is an abundant number, since it is smaller than the sum of its proper divisors (800183287680).

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

259435142400 is a wasteful number, since it uses less digits than its factorization.

259435142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 259435142400 in words is "two hundred fifty-nine billion, four hundred thirty-five million, one hundred forty-two thousand, four hundred".