261220520160 has 192 divisors, whose sum is σ = 954023132160. Its totient is φ = 66630136320.

The previous prime is 261220520117. The next prime is 261220520161. The reversal of 261220520160 is 61025022162.

261220520160 is a `hidden beast` number, since 2 + 6 + 122 + 0 + 520 + 16 + 0 = 666.

261220520160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261220520161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215156 + ... + 1413875.

It is an arithmetic number, because the mean of its divisors is an integer number (4968870480).

Almost surely, 2^261220520160 is an apocalyptic number.

261220520160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261220520160 is an abundant number, since it is smaller than the sum of its proper divisors (692802612000).

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

261220520160 is a wasteful number, since it uses less digits than its factorization.

261220520160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629078 (or 2629064 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

It can be divided in two parts, 2612205 and 20160, that added together give a triangular number (2632365 = T₂₂₉₄).

The spelling of 261220520160 in words is "two hundred sixty-one billion, two hundred twenty million, five hundred twenty thousand, one hundred sixty".