261507762360 has 512 divisors, whose sum is σ = 1000742400000. Its totient is φ = 60206395392.

The previous prime is 261507762359. The next prime is 261507762389. The reversal of 261507762360 is 63267705162.

261507762360 is a `hidden beast` number, since 2 + 6 + 15 + 0 + 7 + 7 + 623 + 6 + 0 = 666.

261507762360 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 (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 21067836 + ... + 21080244.

It is an arithmetic number, because the mean of its divisors is an integer number (1954575000).

Almost surely, 2^261507762360 is an apocalyptic number.

261507762360 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 261507762360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500371200000).

261507762360 is an abundant number, since it is smaller than the sum of its proper divisors (739234637640).

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

261507762360 is a wasteful number, since it uses less digits than its factorization.

261507762360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 261507762360 in words is "two hundred sixty-one billion, five hundred seven million, seven hundred sixty-two thousand, three hundred sixty".