261603305646000 has 160 divisors (see below), whose sum is σ = 887799008179200. Its totient is φ = 66089256134400.

The previous prime is 261603305645933. The next prime is 261603305646049. The reversal of 261603305646000 is 646503306162.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147268920 + ... + 1147496919.

It is an arithmetic number, because the mean of its divisors is an integer number (5548743801120).

Almost surely, 2^{261603305646000} is an apocalyptic number.

261603305646000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261603305646000 is an abundant number, since it is smaller than the sum of its proper divisors (626195702533200).

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

261603305646000 is a wasteful number, since it uses less digits than its factorization.

261603305646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294765884 (or 2294765868 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 261603305646000 in words is "two hundred sixty-one trillion, six hundred three billion, three hundred five million, six hundred forty-six thousand".