10091798170800 has 480 divisors, whose sum is σ = 33504780348480. Its totient is φ = 2594753740800.

The previous prime is 10091798170763. The next prime is 10091798170859. The reversal of 10091798170800 is 807189719001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5388038664 + ... + 5388040536.

It is an arithmetic number, because the mean of its divisors is an integer number (69801625726).

Almost surely, 2^{10091798170800} is an apocalyptic number.

10091798170800 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 10091798170800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16752390174240).

10091798170800 is an abundant number, since it is smaller than the sum of its proper divisors (23412982177680).

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

10091798170800 is a wasteful number, since it uses less digits than its factorization.

10091798170800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 51.

The spelling of 10091798170800 in words is "ten trillion, ninety-one billion, seven hundred ninety-eight million, one hundred seventy thousand, eight hundred".