260749301156352 has 240 divisors, whose sum is σ = 782790919190280. Its totient is φ = 83455664947200.

The previous prime is 260749301156257. The next prime is 260749301156363. The reversal of 260749301156352 is 253651103947062.

260749301156352 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 49 + 30 + 1 + 1 + 563 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 221347266529536 + 39402034626816 = 14877744^2 + 6277104^2 .

It is a super-3 number, since 3×260749301156352³ (a number of 44 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18797202 + ... + 29577582.

Almost surely, 2^{260749301156352} 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 260749301156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391395459595140).

260749301156352 is an abundant number, since it is smaller than the sum of its proper divisors (522041618033928).

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

260749301156352 is a wasteful number, since it uses less digits than its factorization.

260749301156352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780615 (or 10780596 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 260749301156352 in words is "two hundred sixty trillion, seven hundred forty-nine billion, three hundred one million, one hundred fifty-six thousand, three hundred fifty-two".