9818259690960 has 1920 divisors, whose sum is σ = 40769550581760. Its totient is φ = 2071144857600.

The previous prime is 9818259690937. The next prime is 9818259690979. The reversal of 9818259690960 is 690969528189.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49838881582 + ... + 49838881778.

It is an arithmetic number, because the mean of its divisors is an integer number (21234140928).

Almost surely, 2^{9818259690960} is an apocalyptic number.

9818259690960 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 9818259690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384775290880).

9818259690960 is an abundant number, since it is smaller than the sum of its proper divisors (30951290890800).

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

9818259690960 is a wasteful number, since it uses less digits than its factorization.

9818259690960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 72.

The spelling of 9818259690960 in words is "nine trillion, eight hundred eighteen billion, two hundred fifty-nine million, six hundred ninety thousand, nine hundred sixty".