260737971204096 has 1040 divisors, whose sum is σ = 836603994530304. Its totient is φ = 80962113503232.

The previous prime is 260737971204083. The next prime is 260737971204143. The reversal of 260737971204096 is 690402179737062.

260737971204096 is a `hidden beast` number, since 2 + 6 + 0 + 73 + 79 + 71 + 20 + 409 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 141168364645 + ... + 141168366491.

Almost surely, 2^{260737971204096} 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 260737971204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418301997265152).

260737971204096 is an abundant number, since it is smaller than the sum of its proper divisors (575866023326208).

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

260737971204096 is an frugal number, since it uses more digits than its factorization.

260737971204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 260737971204096 in words is "two hundred sixty trillion, seven hundred thirty-seven billion, nine hundred seventy-one million, two hundred four thousand, ninety-six".