102505545168000 has 1024 divisors, whose sum is σ = 375258470146560. Its totient is φ = 24591237120000.

The previous prime is 102505545167941. The next prime is 102505545168001. The reversal of 102505545168000 is 861545505201.

It is not an unprimeable number, because it can be changed into a prime (102505545168001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39169102692 + ... + 39169105308.

Almost surely, 2^{102505545168000} is an apocalyptic number.

102505545168000 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 102505545168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187629235073280).

102505545168000 is an abundant number, since it is smaller than the sum of its proper divisors (272752924978560).

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

102505545168000 is a wasteful number, since it uses less digits than its factorization.

102505545168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 102505545168000 in words is "one hundred two trillion, five hundred five billion, five hundred forty-five million, one hundred sixty-eight thousand".