104583777480 has 768 divisors, whose sum is σ = 450302976000. Its totient is φ = 21100704768.

The previous prime is 104583777451. The next prime is 104583777509. The reversal of 104583777480 is 84777385401.

104583777480 is a `hidden beast` number, since 10 + 4 + 5 + 83 + 7 + 77 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (104583777451) and next prime (104583777509).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29383941 + ... + 29387499.

It is an arithmetic number, because the mean of its divisors is an integer number (586332000).

Almost surely, 2^104583777480 is an apocalyptic number.

104583777480 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 104583777480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225151488000).

104583777480 is an abundant number, since it is smaller than the sum of its proper divisors (345719198520).

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

104583777480 is a wasteful number, since it uses less digits than its factorization.

104583777480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 104583777480 in words is "one hundred four billion, five hundred eighty-three million, seven hundred seventy-seven thousand, four hundred eighty".