102659652380544 has 512 divisors, whose sum is σ = 332519869440000. Its totient is φ = 27411016605696.

The previous prime is 102659652380543. The next prime is 102659652380557. The reversal of 102659652380544 is 445083256956201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102659652380543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263633877 + ... + 1263715115.

It is an arithmetic number, because the mean of its divisors is an integer number (649452870000).

Almost surely, 2^{102659652380544} is an apocalyptic number.

102659652380544 is a gapful number since it is divisible by the number (14) 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 102659652380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166259934720000).

102659652380544 is an abundant number, since it is smaller than the sum of its proper divisors (229860217059456).

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

102659652380544 is a wasteful number, since it uses less digits than its factorization.

102659652380544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81618 (or 81606 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 102659652380544 in words is "one hundred two trillion, six hundred fifty-nine billion, six hundred fifty-two million, three hundred eighty thousand, five hundred forty-four".