104733578880 has 1024 divisors, whose sum is σ = 445633920000. Its totient is φ = 22741254144.

The previous prime is 104733578867. The next prime is 104733578881. The reversal of 104733578880 is 88875337401.

104733578880 is a `hidden beast` number, since 10 + 473 + 3 + 5 + 7 + 88 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104733578881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256072116 + ... + 256072524.

It is an arithmetic number, because the mean of its divisors is an integer number (435189375).

Almost surely, 2^104733578880 is an apocalyptic number.

104733578880 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 104733578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222816960000).

104733578880 is an abundant number, since it is smaller than the sum of its proper divisors (340900341120).

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

104733578880 is a wasteful number, since it uses less digits than its factorization.

104733578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 104733578880 in words is "one hundred four billion, seven hundred thirty-three million, five hundred seventy-eight thousand, eight hundred eighty".