10095959029800 has 576 divisors, whose sum is σ = 36958251395520. Its totient is φ = 2272894525440.

The previous prime is 10095959029769. The next prime is 10095959029811. The reversal of 10095959029800 is 892095959001.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 822341262 + ... + 822353538.

It is an arithmetic number, because the mean of its divisors is an integer number (64163630895).

Almost surely, 2^{10095959029800} is an apocalyptic number.

10095959029800 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 10095959029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18479125697760).

10095959029800 is an abundant number, since it is smaller than the sum of its proper divisors (26862292365720).

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

10095959029800 is a wasteful number, since it uses less digits than its factorization.

10095959029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12730 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 57.

The spelling of 10095959029800 in words is "ten trillion, ninety-five billion, nine hundred fifty-nine million, twenty-nine thousand, eight hundred".