10091162907840 has 672 divisors, whose sum is σ = 37859615115264. Its totient is φ = 2270197063680.

The previous prime is 10091162907829. The next prime is 10091162907857. The reversal of 10091162907840 is 4870926119001.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10091162907840.

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 95 ways as a sum of consecutive naturals, for example, 2261069449 + ... + 2261073911.

Almost surely, 2^{10091162907840} is an apocalyptic number.

10091162907840 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 10091162907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929807557632).

10091162907840 is an abundant number, since it is smaller than the sum of its proper divisors (27768452207424).

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

10091162907840 is a wasteful number, since it uses less digits than its factorization.

10091162907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 10091162907840 in words is "ten trillion, ninety-one billion, one hundred sixty-two million, nine hundred seven thousand, eight hundred forty".