260121910507200 has 6720 divisors, whose sum is σ = 1245671738572800. Its totient is φ = 51904165478400.

The previous prime is 260121910507177. The next prime is 260121910507201. The reversal of 260121910507200 is 2705019121062.

260121910507200 is a `hidden beast` number, since 2 + 6 + 0 + 121 + 9 + 1 + 0 + 507 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×260121910507200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (260121910507201) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1166465966289 + ... + 1166465966511.

It is an arithmetic number, because the mean of its divisors is an integer number (185367818240).

Almost surely, 2^{260121910507200} is an apocalyptic number.

260121910507200 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 260121910507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622835869286400).

260121910507200 is an abundant number, since it is smaller than the sum of its proper divisors (985549828065600).

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

260121910507200 is a wasteful number, since it uses less digits than its factorization.

260121910507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 260121910507200 its reverse (2705019121062), we get a palindrome (262826929628262).

The spelling of 260121910507200 in words is "two hundred sixty trillion, one hundred twenty-one billion, nine hundred ten million, five hundred seven thousand, two hundred".