104828826240 has 1280 divisors, whose sum is σ = 416018211840. Its totient is φ = 25082265600.

The previous prime is 104828826239. The next prime is 104828826257. The reversal of 104828826240 is 42628828401.

104828826240 is a `hidden beast` number, since 10 + 4 + 8 + 2 + 8 + 8 + 2 + 624 + 0 = 666.

It is a super-2 number, since 2×104828826240² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2437879659 + ... + 2437879701.

It is an arithmetic number, because the mean of its divisors is an integer number (325014228).

Almost surely, 2^104828826240 is an apocalyptic number.

104828826240 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 104828826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208009105920).

104828826240 is an abundant number, since it is smaller than the sum of its proper divisors (311189385600).

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

104828826240 is a wasteful number, since it uses less digits than its factorization.

104828826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 104828826240 in words is "one hundred four billion, eight hundred twenty-eight million, eight hundred twenty-six thousand, two hundred forty".