102753618912 has 288 divisors, whose sum is σ = 337133422080. Its totient is φ = 29079751680.

The previous prime is 102753618889. The next prime is 102753618983. The reversal of 102753618912 is 219816357201.

102753618912 is a `hidden beast` number, since 1 + 0 + 27 + 5 + 3 + 618 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138295213 + ... + 138295955.

It is an arithmetic number, because the mean of its divisors is an integer number (1170602160).

Almost surely, 2^102753618912 is an apocalyptic number.

102753618912 is a gapful number since it is divisible by the number (12) 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 102753618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168566711040).

102753618912 is an abundant number, since it is smaller than the sum of its proper divisors (234379803168).

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

102753618912 is a wasteful number, since it uses less digits than its factorization.

102753618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 102753618912 in words is "one hundred two billion, seven hundred fifty-three million, six hundred eighteen thousand, nine hundred twelve".