259195424342400 has 3456 divisors, whose sum is σ = 1272258872408160. Its totient is φ = 51468809011200.

The previous prime is 259195424342363. The next prime is 259195424342419. The reversal of 259195424342400 is 4243424591952.

259195424342400 is a `hidden beast` number, since 2 + 5 + 9 + 19 + 542 + 4 + 3 + 42 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8420615010 + ... + 8420645790.

Almost surely, 2^{259195424342400} is an apocalyptic number.

259195424342400 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 259195424342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636129436204080).

259195424342400 is an abundant number, since it is smaller than the sum of its proper divisors (1013063448065760).

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

259195424342400 is a wasteful number, since it uses less digits than its factorization.

259195424342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30864 (or 30828 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 259195424342400 in words is "two hundred fifty-nine trillion, one hundred ninety-five billion, four hundred twenty-four million, three hundred forty-two thousand, four hundred".