9268598465280 has 1152 divisors, whose sum is σ = 41843983104000. Its totient is φ = 1925915443200.

The previous prime is 9268598465249. The next prime is 9268598465303. The reversal of 9268598465280 is 825648958629.

9268598465280 is a `hidden beast` number, since 9 + 2 + 6 + 8 + 5 + 98 + 4 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9268598465199 and 9268598465208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130359340 + ... + 130430420.

It is an arithmetic number, because the mean of its divisors is an integer number (36322902000).

Almost surely, 2^{9268598465280} is an apocalyptic number.

9268598465280 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 9268598465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921991552000).

9268598465280 is an abundant number, since it is smaller than the sum of its proper divisors (32575384638720).

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

9268598465280 is a wasteful number, since it uses less digits than its factorization.

9268598465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71143 (or 71109 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 9268598465280 in words is "nine trillion, two hundred sixty-eight billion, five hundred ninety-eight million, four hundred sixty-five thousand, two hundred eighty".