255431434100000 has 288 divisors, whose sum is σ = 635624558955792. Its totient is φ = 101027008000000.

The previous prime is 255431434099991. The next prime is 255431434100023. The reversal of 255431434100000 is 1434134552.

It can be written as a sum of positive squares in 24 ways, for example, as 147671006784016 + 107760427315984 = 12151996^2 + 10380772^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 255431434100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7807283642 + ... + 7807316358.

Almost surely, 2^{255431434100000} is an apocalyptic number.

255431434100000 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 255431434100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317812279477896).

255431434100000 is an abundant number, since it is smaller than the sum of its proper divisors (380193124855792).

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

255431434100000 is an equidigital number, since it uses as much as digits as its factorization.

255431434100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33626 (or 33598 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 255431434100000 its reverse (1434134552), we get a palindrome (255432868234552).

The spelling of 255431434100000 in words is "two hundred fifty-five trillion, four hundred thirty-one billion, four hundred thirty-four million, one hundred thousand".