260958783601152 has 3600 divisors, whose sum is σ = 1020755634734880. Its totient is φ = 66381219201024.

The previous prime is 260958783601129. The next prime is 260958783601169. The reversal of 260958783601152 is 251106387859062.

260958783601152 is a `hidden beast` number, since 2 + 6 + 0 + 9 + 5 + 8 + 7 + 8 + 3 + 601 + 15 + 2 = 666.

260958783601152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 260958783601152.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4423030230499 + ... + 4423030230557.

Almost surely, 2^{260958783601152} 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 260958783601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510377817367440).

260958783601152 is an abundant number, since it is smaller than the sum of its proper divisors (759796851133728).

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

260958783601152 is an frugal number, since it uses more digits than its factorization.

260958783601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 260958783601152 in words is "two hundred sixty trillion, nine hundred fifty-eight billion, seven hundred eighty-three million, six hundred one thousand, one hundred fifty-two".