102827375919920 has 160 divisors (see below), whose sum is σ = 266875531462080. Its totient is φ = 36616816558080.

The previous prime is 102827375919893. The next prime is 102827375919929. The reversal of 102827375919920 is 29919573728201.

It is not an unprimeable number, because it can be changed into a prime (102827375919929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13459394 + ... + 19667486.

It is an arithmetic number, because the mean of its divisors is an integer number (1667972071638).

Almost surely, 2^{102827375919920} is an apocalyptic number.

102827375919920 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 102827375919920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133437765731040).

102827375919920 is an abundant number, since it is smaller than the sum of its proper divisors (164048155542160).

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

102827375919920 is a wasteful number, since it uses less digits than its factorization.

102827375919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208783 (or 6208777 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 65.

The spelling of 102827375919920 in words is "one hundred two trillion, eight hundred twenty-seven billion, three hundred seventy-five million, nine hundred nineteen thousand, nine hundred twenty".