10091816784000 has 1024 divisors, whose sum is σ = 42531935846400. Its totient is φ = 2303976960000.

The previous prime is 10091816783981. The next prime is 10091816784013. The reversal of 10091816784000 is 48761819001.

It is a happy number.

10091816784000 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 181 + 67 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3722542645 + ... + 3722545355.

It is an arithmetic number, because the mean of its divisors is an integer number (41535093600).

Almost surely, 2^{10091816784000} is an apocalyptic number.

10091816784000 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 10091816784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265967923200).

10091816784000 is an abundant number, since it is smaller than the sum of its proper divisors (32440119062400).

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

10091816784000 is a wasteful number, since it uses less digits than its factorization.

10091816784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10091816784000 in words is "ten trillion, ninety-one billion, eight hundred sixteen million, seven hundred eighty-four thousand".