10091675715840 has 648 divisors, whose sum is σ = 35979938565480. Its totient is φ = 2611485868032.

The previous prime is 10091675715829. The next prime is 10091675715853. The reversal of 10091675715840 is 4851757619001.

10091675715840 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 6 + 7 + 57 + 1 + 584 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1853819136 + 10089821896704 = 43056^2 + 3176448^2 .

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 71 ways as a sum of consecutive naturals, for example, 9099797206 + ... + 9099798314.

Almost surely, 2^{10091675715840} is an apocalyptic number.

10091675715840 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 10091675715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989969282740).

10091675715840 is an abundant number, since it is smaller than the sum of its proper divisors (25888262849640).

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

10091675715840 is a wasteful number, since it uses less digits than its factorization.

10091675715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 10091675715840 in words is "ten trillion, ninety-one billion, six hundred seventy-five million, seven hundred fifteen thousand, eight hundred forty".