104675211577440 has 1152 divisors, whose sum is σ = 419748600870144. Its totient is φ = 23260815360000.

The previous prime is 104675211577439. The next prime is 104675211577457. The reversal of 104675211577440 is 44775112576401.

104675211577440 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 7 + 5 + 21 + 1 + 577 + 4 + 40 = 666.

It is a congruent number.

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, 50986463454 + ... + 50986465506.

It is an arithmetic number, because the mean of its divisors is an integer number (364365104922).

Almost surely, 2^{104675211577440} is an apocalyptic number.

104675211577440 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 104675211577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209874300435072).

104675211577440 is an abundant number, since it is smaller than the sum of its proper divisors (315073389292704).

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

104675211577440 is a wasteful number, since it uses less digits than its factorization.

104675211577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 104675211577440 in words is "one hundred four trillion, six hundred seventy-five billion, two hundred eleven million, five hundred seventy-seven thousand, four hundred forty".