104012871768000 has 2240 divisors, whose sum is σ = 450293678714880. Its totient is φ = 23472073728000.

The previous prime is 104012871767957. The next prime is 104012871768007. The reversal of 104012871768000 is 867178210401.

104012871768000 is a `hidden beast` number, since 10 + 401 + 28 + 71 + 76 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×104012871768000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104012871768007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4961725519 + ... + 4961746481.

It is an arithmetic number, because the mean of its divisors is an integer number (201023963712).

Almost surely, 2^{104012871768000} is an apocalyptic number.

104012871768000 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 104012871768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225146839357440).

104012871768000 is an abundant number, since it is smaller than the sum of its proper divisors (346280806946880).

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

104012871768000 is a wasteful number, since it uses less digits than its factorization.

104012871768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21065 (or 21036 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 104012871768000 in words is "one hundred four trillion, twelve billion, eight hundred seventy-one million, seven hundred sixty-eight thousand".