260235149988528 has 2400 divisors, whose sum is σ = 933931964528640. Its totient is φ = 69289758720000.

The previous prime is 260235149988521. The next prime is 260235149988547. The reversal of 260235149988528 is 825889941532062.

It is a happy number.

260235149988528 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 3 + 5 + 1 + 4 + 9 + 98 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (260235149988521) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1088849999833 + ... + 1088850000071.

Almost surely, 2^{260235149988528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260235149988528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466965982264320).

260235149988528 is an abundant number, since it is smaller than the sum of its proper divisors (673696814540112).

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

260235149988528 is a wasteful number, since it uses less digits than its factorization.

260235149988528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 260235149988528 in words is "two hundred sixty trillion, two hundred thirty-five billion, one hundred forty-nine million, nine hundred eighty-eight thousand, five hundred twenty-eight".