260006511115200 has 336 divisors, whose sum is σ = 861747617729664. Its totient is φ = 68628262809600.

The previous prime is 260006511115157. The next prime is 260006511115271. The reversal of 260006511115200 is 2511115600062.

It is a super-2 number, since 2×260006511115200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601209442 + ... + 601641758.

Almost surely, 2^{260006511115200} is an apocalyptic number.

260006511115200 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 260006511115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430873808864832).

260006511115200 is an abundant number, since it is smaller than the sum of its proper divisors (601741106614464).

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

260006511115200 is a wasteful number, since it uses less digits than its factorization.

260006511115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433620 (or 433605 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 260006511115200 its reverse (2511115600062), we get a palindrome (262517626715262).

The spelling of 260006511115200 in words is "two hundred sixty trillion, six billion, five hundred eleven million, one hundred fifteen thousand, two hundred".