260798054400 has 768 divisors, whose sum is σ = 1033020340800. Its totient is φ = 64125665280.

The previous prime is 260798054381. The next prime is 260798054431. The reversal of 260798054400 is 4450897062.

It is a happy number.

260798054400 is a `hidden beast` number, since 2 + 60 + 79 + 80 + 5 + 440 + 0 = 666.

260798054400 is digitally balanced in base 3, 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 (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287538747 + ... + 287539653.

Almost surely, 2^260798054400 is an apocalyptic number.

260798054400 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 260798054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516510170400).

260798054400 is an abundant number, since it is smaller than the sum of its proper divisors (772222286400).

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

260798054400 is an equidigital number, since it uses as much as digits as its factorization.

260798054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 260798054400 in words is "two hundred sixty billion, seven hundred ninety-eight million, fifty-four thousand, four hundred".