9821145584090 has 32 divisors (see below), whose sum is σ = 17948211132096. Its totient is φ = 3868727541120.

The previous prime is 9821145584051. The next prime is 9821145584093. The reversal of 9821145584090 is 904855411289.

It is a super-2 number, since 2×9821145584090² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (9821145584093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18642296 + ... + 19161875.

It is an arithmetic number, because the mean of its divisors is an integer number (560881597878).

Almost surely, 2^{9821145584090} is an apocalyptic number.

9821145584090 is a deficient number, since it is larger than the sum of its proper divisors (8127065548006).

9821145584090 is a wasteful number, since it uses less digits than its factorization.

9821145584090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37804574.

The product of its (nonzero) digits is 4147200, while the sum is 56.

The spelling of 9821145584090 in words is "nine trillion, eight hundred twenty-one billion, one hundred forty-five million, five hundred eighty-four thousand, ninety".