261030620160 has 396 divisors, whose sum is σ = 917886623472. Its totient is φ = 68590043136.

The previous prime is 261030620111. The next prime is 261030620219. The reversal of 261030620160 is 61026030162.

261030620160 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 30 + 620 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×261030620160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245559789 + ... + 245560851.

Almost surely, 2^261030620160 is an apocalyptic number.

261030620160 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 261030620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458943311736).

261030620160 is an abundant number, since it is smaller than the sum of its proper divisors (656856003312).

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

261030620160 is a wasteful number, since it uses less digits than its factorization.

261030620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 261030620160 in words is "two hundred sixty-one billion, thirty million, six hundred twenty thousand, one hundred sixty".