261662720000 has 600 divisors, whose sum is σ = 751762009152. Its totient is φ = 90112000000.

The previous prime is 261662719973. The next prime is 261662720027. The reversal of 261662720000 is 27266162.

261662720000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261662719973) and next prime (261662720027).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2590719950 + ... + 2590720050.

Almost surely, 2^261662720000 is an apocalyptic number.

261662720000 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 261662720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375881004576).

261662720000 is an abundant number, since it is smaller than the sum of its proper divisors (490099289152).

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

261662720000 is an equidigital number, since it uses as much as digits as its factorization.

261662720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 261662720000 its reverse (27266162), we get a palindrome (261689986162).

The spelling of 261662720000 in words is "two hundred sixty-one billion, six hundred sixty-two million, seven hundred twenty thousand".