10091921350500 has 576 divisors, whose sum is σ = 35115630810624. Its totient is φ = 2419522560000.

The previous prime is 10091921350499. The next prime is 10091921350517. The reversal of 10091921350500 is 505312919001.

10091921350500 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 1 + 92 + 13 + 50 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2914211769 + ... + 2914215231.

It is an arithmetic number, because the mean of its divisors is an integer number (60964636824).

Almost surely, 2^{10091921350500} is an apocalyptic number.

10091921350500 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 10091921350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557815405312).

10091921350500 is an abundant number, since it is smaller than the sum of its proper divisors (25023709460124).

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

10091921350500 is a wasteful number, since it uses less digits than its factorization.

10091921350500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 10091921350500 in words is "ten trillion, ninety-one billion, nine hundred twenty-one million, three hundred fifty thousand, five hundred".