260445715200 has 540 divisors, whose sum is σ = 1050553702968. Its totient is φ = 63136972800.

The previous prime is 260445715169. The next prime is 260445715217. The reversal of 260445715200 is 2517544062.

It is a happy number.

260445715200 is a `hidden beast` number, since 2 + 6 + 0 + 445 + 7 + 1 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×260445715200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5679564 + ... + 5725236.

Almost surely, 2^260445715200 is an apocalyptic number.

260445715200 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 260445715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525276851484).

260445715200 is an abundant number, since it is smaller than the sum of its proper divisors (790107987768).

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

260445715200 is a wasteful number, since it uses less digits than its factorization.

260445715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45722 (or 45694 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 260445715200 in words is "two hundred sixty billion, four hundred forty-five million, seven hundred fifteen thousand, two hundred".