9249910390980 has 1344 divisors, whose sum is σ = 36212121792000. Its totient is φ = 1935885090816.

The previous prime is 9249910390957. The next prime is 9249910390993. The reversal of 9249910390980 is 890930199429.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11157913206 + ... + 11157914034.

It is an arithmetic number, because the mean of its divisors is an integer number (26943543000).

Almost surely, 2^{9249910390980} is an apocalyptic number.

9249910390980 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 9249910390980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18106060896000).

9249910390980 is an abundant number, since it is smaller than the sum of its proper divisors (26962211401020).

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

9249910390980 is a wasteful number, since it uses less digits than its factorization.

9249910390980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 63.

The spelling of 9249910390980 in words is "nine trillion, two hundred forty-nine billion, nine hundred ten million, three hundred ninety thousand, nine hundred eighty".