104513111124480 has 960 divisors, whose sum is σ = 393222738205440. Its totient is φ = 25582254686208.

The previous prime is 104513111124479. The next prime is 104513111124491. The reversal of 104513111124480 is 84421111315401.

104513111124480 is a `hidden beast` number, since 1 + 0 + 4 + 51 + 3 + 1 + 1 + 1 + 124 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1431277411 + ... + 1431350429.

It is an arithmetic number, because the mean of its divisors is an integer number (409607018964).

Almost surely, 2^{104513111124480} is an apocalyptic number.

104513111124480 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 104513111124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196611369102720).

104513111124480 is an abundant number, since it is smaller than the sum of its proper divisors (288709627080960).

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

104513111124480 is a wasteful number, since it uses less digits than its factorization.

104513111124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73181 (or 73162 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 104513111124480 its reverse (84421111315401), we get a palindrome (188934222439881).

The spelling of 104513111124480 in words is "one hundred four trillion, five hundred thirteen billion, one hundred eleven million, one hundred twenty-four thousand, four hundred eighty".