10802996404200 has 576 divisors, whose sum is σ = 48711701001600. Its totient is φ = 2072102860800.

The previous prime is 10802996404199. The next prime is 10802996404253. The reversal of 10802996404200 is 240469920801.

10802996404200 is a `hidden beast` number, since 1 + 0 + 80 + 2 + 99 + 64 + 0 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1196035 + ... + 4799634.

It is an arithmetic number, because the mean of its divisors is an integer number (84568925350).

Almost surely, 2^{10802996404200} is an apocalyptic number.

10802996404200 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 10802996404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355850500800).

10802996404200 is an abundant number, since it is smaller than the sum of its proper divisors (37908704597400).

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

10802996404200 is a wasteful number, since it uses less digits than its factorization.

10802996404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995722 (or 5995710 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10802996404200 in words is "ten trillion, eight hundred two billion, nine hundred ninety-six million, four hundred four thousand, two hundred".