10196341084800 has 2304 divisors, whose sum is σ = 42734627308800. Its totient is φ = 2368402882560.

The previous prime is 10196341084799. The next prime is 10196341084841. The reversal of 10196341084800 is 848014369101.

10196341084800 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 63 + 4 + 108 + 480 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32576169444 + ... + 32576169756.

It is an arithmetic number, because the mean of its divisors is an integer number (18548015325).

Almost surely, 2^{10196341084800} is an apocalyptic number.

10196341084800 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 10196341084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21367313654400).

10196341084800 is an abundant number, since it is smaller than the sum of its proper divisors (32538286224000).

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

10196341084800 is a wasteful number, since it uses less digits than its factorization.

10196341084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 10196341084800 in words is "ten trillion, one hundred ninety-six billion, three hundred forty-one million, eighty-four thousand, eight hundred".