10084928716800 has 2400 divisors, whose sum is σ = 45310519584000. Its totient is φ = 2167532421120.

The previous prime is 10084928716771. The next prime is 10084928716801. The reversal of 10084928716800 is 861782948001.

10084928716800 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 492 + 8 + 71 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084928716801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170930995171 + ... + 170930995229.

It is an arithmetic number, because the mean of its divisors is an integer number (18879383160).

Almost surely, 2^{10084928716800} is an apocalyptic number.

10084928716800 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 10084928716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655259792000).

10084928716800 is an abundant number, since it is smaller than the sum of its proper divisors (35225590867200).

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

10084928716800 is an frugal number, since it uses more digits than its factorization.

10084928716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 10084928716800 in words is "ten trillion, eighty-four billion, nine hundred twenty-eight million, seven hundred sixteen thousand, eight hundred".