260523561228480 has 3360 divisors, whose sum is σ = 1107994874241024. Its totient is φ = 57888940032000.

The previous prime is 260523561228439. The next prime is 260523561228487. The reversal of 260523561228480 is 84822165325062.

260523561228480 is a `hidden beast` number, since 2 + 6 + 0 + 5 + 2 + 35 + 6 + 122 + 8 + 480 = 666.

260523561228480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×260523561228480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (260523561228487) 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, 252690165565 + ... + 252690166595.

Almost surely, 2^{260523561228480} is an apocalyptic number.

260523561228480 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 260523561228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553997437120512).

260523561228480 is an abundant number, since it is smaller than the sum of its proper divisors (847471313012544).

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

260523561228480 is a wasteful number, since it uses less digits than its factorization.

260523561228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 260523561228480 in words is "two hundred sixty trillion, five hundred twenty-three billion, five hundred sixty-one million, two hundred twenty-eight thousand, four hundred eighty".