102283938519280 has 480 divisors, whose sum is σ = 293727931637760. Its totient is φ = 32913792737280.

The previous prime is 102283938519277. The next prime is 102283938519293. The reversal of 102283938519280 is 82915839382201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56107480449 + ... + 56107482271.

It is an arithmetic number, because the mean of its divisors is an integer number (611933190912).

Almost surely, 2^{102283938519280} is an apocalyptic number.

102283938519280 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 102283938519280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146863965818880).

102283938519280 is an abundant number, since it is smaller than the sum of its proper divisors (191443993118480).

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

102283938519280 is a wasteful number, since it uses less digits than its factorization.

102283938519280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 102283938519280 in words is "one hundred two trillion, two hundred eighty-three billion, nine hundred thirty-eight million, five hundred nineteen thousand, two hundred eighty".