9205263020880 has 800 divisors, whose sum is σ = 32876764800000. Its totient is φ = 2386479034368.

The previous prime is 9205263020851. The next prime is 9205263020951. The reversal of 9205263020880 is 880203625029.

It is a happy number.

9205263020880 is a `hidden beast` number, since 9 + 2 + 0 + 5 + 2 + 630 + 2 + 0 + 8 + 8 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11104056306 + ... + 11104057134.

It is an arithmetic number, because the mean of its divisors is an integer number (41095956000).

Almost surely, 2^{9205263020880} is an apocalyptic number.

9205263020880 is a gapful number since it is divisible by the number (90) 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 9205263020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16438382400000).

9205263020880 is an abundant number, since it is smaller than the sum of its proper divisors (23671501779120).

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

9205263020880 is a wasteful number, since it uses less digits than its factorization.

9205263020880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 9205263020880 in words is "nine trillion, two hundred five billion, two hundred sixty-three million, twenty thousand, eight hundred eighty".