861973129063200 has 4608 divisors, whose sum is σ = 4087218721259520. Its totient is φ = 152165744640000.

The previous prime is 861973129063187. The next prime is 861973129063201. The reversal of 861973129063200 is 2360921379168.

861973129063200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (861973129063201) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 105234171105 + ... + 105234179295.

It is an arithmetic number, because the mean of its divisors is an integer number (886983229440).

Almost surely, 2^{861973129063200} is an apocalyptic number.

861973129063200 is a gapful number since it is divisible by the number (80) 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 861973129063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043609360629760).

861973129063200 is an abundant number, since it is smaller than the sum of its proper divisors (3225245592196320).

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

861973129063200 is a wasteful number, since it uses less digits than its factorization.

861973129063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 861973129063200 in words is "eight hundred sixty-one trillion, nine hundred seventy-three billion, one hundred twenty-nine million, sixty-three thousand, two hundred".