260892721152 has 1020 divisors, whose sum is σ = 976316421960. Its totient is φ = 68966940672.

The previous prime is 260892721139. The next prime is 260892721153. The reversal of 260892721152 is 251127298062.

260892721152 is a `hidden beast` number, since 2 + 608 + 9 + 2 + 7 + 21 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 260892721098 and 260892721107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260892721153) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4421910499 + ... + 4421910557.

Almost surely, 2^260892721152 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 260892721152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488158210980).

260892721152 is an abundant number, since it is smaller than the sum of its proper divisors (715423700808).

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

260892721152 is an frugal number, since it uses more digits than its factorization.

260892721152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 260892721152 in words is "two hundred sixty billion, eight hundred ninety-two million, seven hundred twenty-one thousand, one hundred fifty-two".