260613927552 has 192 divisors, whose sum is σ = 764292160800. Its totient is φ = 78622832640.

The previous prime is 260613927551. The next prime is 260613927589. The reversal of 260613927552 is 255729316062.

260613927552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (260613927551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10534974 + ... + 10559682.

Almost surely, 2^260613927552 is an apocalyptic number.

260613927552 is a gapful number since it is divisible by the number (22) 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 260613927552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382146080400).

260613927552 is an abundant number, since it is smaller than the sum of its proper divisors (503678233248).

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

260613927552 is a wasteful number, since it uses less digits than its factorization.

260613927552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24975 (or 24952 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 260613927552 in words is "two hundred sixty billion, six hundred thirteen million, nine hundred twenty-seven thousand, five hundred fifty-two".