10900805335680 has 256 divisors, whose sum is σ = 37640540044800. Its totient is φ = 2683274121216.

The previous prime is 10900805335613. The next prime is 10900805335729. The reversal of 10900805335680 is 8653350800901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2926137 + ... + 5510343.

It is an arithmetic number, because the mean of its divisors is an integer number (147033359550).

Almost surely, 2^{10900805335680} is an apocalyptic number.

10900805335680 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 10900805335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820270022400).

10900805335680 is an abundant number, since it is smaller than the sum of its proper divisors (26739734709120).

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

10900805335680 is an equidigital number, since it uses as much as digits as its factorization.

10900805335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584268 (or 2584230 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 10900805335680 in words is "ten trillion, nine hundred billion, eight hundred five million, three hundred thirty-five thousand, six hundred eighty".