102502004656128 has 768 divisors, whose sum is σ = 343297543680000. Its totient is φ = 26421932851200.

The previous prime is 102502004656123. The next prime is 102502004656141. The reversal of 102502004656128 is 821656400205201.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 102502004656128.

It is not an unprimeable number, because it can be changed into a prime (102502004656123) 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, 37809664693 + ... + 37809667403.

It is an arithmetic number, because the mean of its divisors is an integer number (447002010000).

Almost surely, 2^{102502004656128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102502004656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171648771840000).

102502004656128 is an abundant number, since it is smaller than the sum of its proper divisors (240795539023872).

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

102502004656128 is a wasteful number, since it uses less digits than its factorization.

102502004656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 102502004656128 in words is "one hundred two trillion, five hundred two billion, four million, six hundred fifty-six thousand, one hundred twenty-eight".