261107280000 has 960 divisors, whose sum is σ = 1120653151200. Its totient is φ = 59657472000.

The previous prime is 261107279899. The next prime is 261107280029. The reversal of 261107280000 is 82701162.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105838767 + ... + 105841233.

Almost surely, 2^261107280000 is an apocalyptic number.

261107280000 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 261107280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560326575600).

261107280000 is an abundant number, since it is smaller than the sum of its proper divisors (859545871200).

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

261107280000 is an equidigital number, since it uses as much as digits as its factorization.

261107280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 261107280000 its reverse (82701162), we get a palindrome (261189981162).

The spelling of 261107280000 in words is "two hundred sixty-one billion, one hundred seven million, two hundred eighty thousand".