260312123520000 has 2200 divisors, whose sum is σ = 1031038630026240. Its totient is φ = 65213890560000.

The previous prime is 260312123519983. The next prime is 260312123520077. The reversal of 260312123520000 is 25321213062.

It is a happy number.

260312123520000 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 12 + 123 + 520 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 125089918960 + ... + 125089921040.

Almost surely, 2^{260312123520000} is an apocalyptic number.

260312123520000 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 260312123520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515519315013120).

260312123520000 is an abundant number, since it is smaller than the sum of its proper divisors (770726506506240).

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

260312123520000 is a wasteful number, since it uses less digits than its factorization.

260312123520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 260312123520000 its reverse (25321213062), we get a palindrome (260337444733062).

The spelling of 260312123520000 in words is "two hundred sixty trillion, three hundred twelve billion, one hundred twenty-three million, five hundred twenty thousand".