104780248536320 has 576 divisors, whose sum is σ = 305154213719040. Its totient is φ = 33692274130944.

The previous prime is 104780248536263. The next prime is 104780248536391. The reversal of 104780248536320 is 23635842087401.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28496122322 + ... + 28496125998.

It is an arithmetic number, because the mean of its divisors is an integer number (529781621040).

Almost surely, 2^{104780248536320} is an apocalyptic number.

104780248536320 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 104780248536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152577106859520).

104780248536320 is an abundant number, since it is smaller than the sum of its proper divisors (200373965182720).

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

104780248536320 is a wasteful number, since it uses less digits than its factorization.

104780248536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 104780248536320 in words is "one hundred four trillion, seven hundred eighty billion, two hundred forty-eight million, five hundred thirty-six thousand, three hundred twenty".