261619736880 has 80 divisors (see below), whose sum is σ = 811070347104. Its totient is φ = 69761034240.

The previous prime is 261619736869. The next prime is 261619736897. The reversal of 261619736880 is 88637916162.

261619736880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 261619736880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618950 + ... + 7653210.

Almost surely, 2^261619736880 is an apocalyptic number.

261619736880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261619736880 is an abundant number, since it is smaller than the sum of its proper divisors (549450610224).

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

261619736880 is a wasteful number, since it uses less digits than its factorization.

261619736880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66094 (or 66088 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 261619736880 in words is "two hundred sixty-one billion, six hundred nineteen million, seven hundred thirty-six thousand, eight hundred eighty".