261382788567000 has 2560 divisors, whose sum is σ = 1042818772469760. Its totient is φ = 60734914560000.

The previous prime is 261382788566957. The next prime is 261382788567053. The reversal of 261382788567000 is 765887283162.

261382788567000 is a `hidden beast` number, since 2 + 61 + 3 + 8 + 2 + 7 + 8 + 8 + 567 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×261382788567000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 96344557644 + ... + 96344560356.

It is an arithmetic number, because the mean of its divisors is an integer number (407351082996).

Almost surely, 2^{261382788567000} is an apocalyptic number.

261382788567000 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 261382788567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521409386234880).

261382788567000 is an abundant number, since it is smaller than the sum of its proper divisors (781435983902760).

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

261382788567000 is a wasteful number, since it uses less digits than its factorization.

261382788567000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 261382788567000 in words is "two hundred sixty-one trillion, three hundred eighty-two billion, seven hundred eighty-eight million, five hundred sixty-seven thousand".