101852550064800 has 432 divisors, whose sum is σ = 385960388329152. Its totient is φ = 25181453721600.

The previous prime is 101852550064799. The next prime is 101852550064843. The reversal of 101852550064800 is 8460055258101.

101852550064800 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 5 + 2 + 5 + 500 + 64 + 80 + 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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1990885 + ... + 14410715.

It is an arithmetic number, because the mean of its divisors is an integer number (893426824836).

Almost surely, 2^{101852550064800} is an apocalyptic number.

101852550064800 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 101852550064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192980194164576).

101852550064800 is an abundant number, since it is smaller than the sum of its proper divisors (284107838264352).

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

101852550064800 is a wasteful number, since it uses less digits than its factorization.

101852550064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419941 (or 12419925 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 101852550064800 in words is "one hundred one trillion, eight hundred fifty-two billion, five hundred fifty million, sixty-four thousand, eight hundred".