10090354514688 has 864 divisors, whose sum is σ = 35044510685184. Its totient is φ = 2729995665408.

The previous prime is 10090354514671. The next prime is 10090354514689. The reversal of 10090354514688 is 88641545309001.

It is a happy number.

10090354514688 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 3 + 545 + 14 + 6 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (10090354514689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28584573520 + ... + 28584573872.

It is an arithmetic number, because the mean of its divisors is an integer number (40560776256).

Almost surely, 2^{10090354514688} is an apocalyptic number.

10090354514688 is a gapful number since it is divisible by the number (18) 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 10090354514688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17522255342592).

10090354514688 is an abundant number, since it is smaller than the sum of its proper divisors (24954156170496).

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

10090354514688 is a wasteful number, since it uses less digits than its factorization.

10090354514688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 10090354514688 in words is "ten trillion, ninety billion, three hundred fifty-four million, five hundred fourteen thousand, six hundred eighty-eight".