104719895280 has 2880 divisors, whose sum is σ = 540111680640. Its totient is φ = 18393661440.

The previous prime is 104719895257. The next prime is 104719895323. The reversal of 104719895280 is 82598917401.

It is a happy number.

104719895280 is a `hidden beast` number, since 1 + 0 + 471 + 9 + 8 + 95 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2830267422 + ... + 2830267458.

It is an arithmetic number, because the mean of its divisors is an integer number (187538778).

Almost surely, 2^104719895280 is an apocalyptic number.

104719895280 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 104719895280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270055840320).

104719895280 is an abundant number, since it is smaller than the sum of its proper divisors (435391785360).

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

104719895280 is a wasteful number, since it uses less digits than its factorization.

104719895280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

It can be divided in two parts, 104719 and 895280, that added together give a palindrome (999999).

The spelling of 104719895280 in words is "one hundred four billion, seven hundred nineteen million, eight hundred ninety-five thousand, two hundred eighty".