102550688800 has 288 divisors, whose sum is σ = 304668000000. Its totient is φ = 33629460480.

The previous prime is 102550688789. The next prime is 102550688809. The reversal of 102550688800 is 8886055201.

102550688800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102550688809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6303076 + ... + 6319324.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875000).

Almost surely, 2^102550688800 is an apocalyptic number.

102550688800 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 102550688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000000).

102550688800 is an abundant number, since it is smaller than the sum of its proper divisors (202117311200).

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

102550688800 is a wasteful number, since it uses less digits than its factorization.

102550688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16313 (or 16286 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The spelling of 102550688800 in words is "one hundred two billion, five hundred fifty million, six hundred eighty-eight thousand, eight hundred".