260128675933056 has 1280 divisors, whose sum is σ = 941755753128960. Its totient is φ = 69665204404224.

The previous prime is 260128675933043. The next prime is 260128675933057. The reversal of 260128675933056 is 650339576821062.

It is a happy number.

260128675933056 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 2 + 8 + 6 + 7 + 593 + 30 + 5 + 6 = 666.

260128675933056 is digitally balanced in base 2 and base 4, because in such bases 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 junction number, because it is equal to n+sod(n) for n = 260128675932984 and 260128675933002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260128675933057) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114745775635 + ... + 114745777901.

It is an arithmetic number, because the mean of its divisors is an integer number (735746682132).

Almost surely, 2^{260128675933056} 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 260128675933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470877876564480).

260128675933056 is an abundant number, since it is smaller than the sum of its proper divisors (681627077195904).

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

260128675933056 is a wasteful number, since it uses less digits than its factorization.

260128675933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 260128675933056 in words is "two hundred sixty trillion, one hundred twenty-eight billion, six hundred seventy-five million, nine hundred thirty-three thousand, fifty-six".