260788125150 has 384 divisors, whose sum is σ = 871658496000. Its totient is φ = 55968675840.

The previous prime is 260788125149. The next prime is 260788125179. The reversal of 260788125150 is 51521887062.

260788125150 is a `hidden beast` number, since 2 + 60 + 78 + 8 + 1 + 2 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 260788125096 and 260788125105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76949656 + ... + 76953044.

It is an arithmetic number, because the mean of its divisors is an integer number (2269944000).

Almost surely, 2^260788125150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260788125150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435829248000).

260788125150 is an abundant number, since it is smaller than the sum of its proper divisors (610870370850).

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

260788125150 is a wasteful number, since it uses less digits than its factorization.

260788125150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 260788125150 in words is "two hundred sixty billion, seven hundred eighty-eight million, one hundred twenty-five thousand, one hundred fifty".