10091784811680 has 768 divisors, whose sum is σ = 41813390868480. Its totient is φ = 2241044582400.

The previous prime is 10091784811649. The next prime is 10091784811681. The reversal of 10091784811680 is 8611848719001.

10091784811680 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 78 + 481 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10091784811681) 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 127 ways as a sum of consecutive naturals, for example, 80864209 + ... + 80988911.

It is an arithmetic number, because the mean of its divisors is an integer number (54444519360).

Almost surely, 2^{10091784811680} is an apocalyptic number.

10091784811680 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 10091784811680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20906695434240).

10091784811680 is an abundant number, since it is smaller than the sum of its proper divisors (31721606056800).

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

10091784811680 is a wasteful number, since it uses less digits than its factorization.

10091784811680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124882 (or 124868 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 10091784811680 in words is "ten trillion, ninety-one billion, seven hundred eighty-four million, eight hundred eleven thousand, six hundred eighty".