261120856392 has 576 divisors, whose sum is σ = 890455887360. Its totient is φ = 68238028800.

The previous prime is 261120856379. The next prime is 261120856439. The reversal of 261120856392 is 293658021162.

261120856392 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 2 + 0 + 8 + 5 + 639 + 2 = 666.

It is a super-3 number, since 3×261120856392³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150674758 + ... + 150676490.

It is an arithmetic number, because the mean of its divisors is an integer number (1545930360).

Almost surely, 2^261120856392 is an apocalyptic number.

261120856392 is a gapful number since it is divisible by the number (22) 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 261120856392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445227943680).

261120856392 is an abundant number, since it is smaller than the sum of its proper divisors (629335030968).

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

261120856392 is a wasteful number, since it uses less digits than its factorization.

261120856392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 261120856392 in words is "two hundred sixty-one billion, one hundred twenty million, eight hundred fifty-six thousand, three hundred ninety-two".