261120126384 has 200 divisors, whose sum is σ = 817761031472. Its totient is φ = 79962785280.

The previous prime is 261120126353. The next prime is 261120126403. The reversal of 261120126384 is 483621021162.

It is a happy number.

261120126384 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 2 + 0 + 12 + 638 + 4 = 666.

It is a super-2 number, since 2×261120126384² (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 (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3518202 + ... + 3591654.

Almost surely, 2^261120126384 is an apocalyptic number.

261120126384 is a gapful number since it is divisible by the number (24) 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 261120126384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408880515736).

261120126384 is an abundant number, since it is smaller than the sum of its proper divisors (556640905088).

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

261120126384 is a wasteful number, since it uses less digits than its factorization.

261120126384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73697 (or 73682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 261120126384 in words is "two hundred sixty-one billion, one hundred twenty million, one hundred twenty-six thousand, three hundred eighty-four".