10091851938 has 192 divisors, whose sum is σ = 28051660800. Its totient is φ = 2672883360.

The previous prime is 10091851937. The next prime is 10091851949. The reversal of 10091851938 is 83915819001.

10091851938 is a `hidden beast` number, since 10 + 0 + 91 + 8 + 519 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10091851893 and 10091851902.

It is not an unprimeable number, because it can be changed into a prime (10091851937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2360743 + ... + 2365013.

It is an arithmetic number, because the mean of its divisors is an integer number (146102400).

Almost surely, 2^10091851938 is an apocalyptic number.

10091851938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091851938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025830400).

10091851938 is an abundant number, since it is smaller than the sum of its proper divisors (17959808862).

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

10091851938 is a wasteful number, since it uses less digits than its factorization.

10091851938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 10091851938 in words is "ten billion, ninety-one million, eight hundred fifty-one thousand, nine hundred thirty-eight".