10090721180160 has 320 divisors, whose sum is σ = 35861348476800. Its totient is φ = 2689487732736.

The previous prime is 10090721180131. The next prime is 10090721180201. The reversal of 10090721180160 is 6108112709001.

10090721180160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139378851 + ... + 139451229.

It is an arithmetic number, because the mean of its divisors is an integer number (112066713990).

Almost surely, 2^{10090721180160} is an apocalyptic number.

10090721180160 is a gapful number since it is divisible by the number (10) 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 10090721180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17930674238400).

10090721180160 is an abundant number, since it is smaller than the sum of its proper divisors (25770627296640).

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

10090721180160 is an equidigital number, since it uses as much as digits as its factorization.

10090721180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74428 (or 74406 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

Adding to 10090721180160 its reverse (6108112709001), we get a palindrome (16198833889161).

The spelling of 10090721180160 in words is "ten trillion, ninety billion, seven hundred twenty-one million, one hundred eighty thousand, one hundred sixty".