101828220364800 has 864 divisors, whose sum is σ = 384693315552000. Its totient is φ = 25670261145600.

The previous prime is 101828220364733. The next prime is 101828220364807. The reversal of 101828220364800 is 8463022828101.

101828220364800 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 282 + 2 + 0 + 364 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101828220364807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4193728660 + ... + 4193752940.

It is an arithmetic number, because the mean of its divisors is an integer number (445246893000).

Almost surely, 2^{101828220364800} is an apocalyptic number.

101828220364800 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 101828220364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192346657776000).

101828220364800 is an abundant number, since it is smaller than the sum of its proper divisors (282865095187200).

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

101828220364800 is a wasteful number, since it uses less digits than its factorization.

101828220364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24817 (or 24789 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 101828220364800 in words is "one hundred one trillion, eight hundred twenty-eight billion, two hundred twenty million, three hundred sixty-four thousand, eight hundred".