104497711718400 has 10080 divisors, whose sum is σ = 564931597063680. Its totient is φ = 18728091648000.

The previous prime is 104497711718377. The next prime is 104497711718417. The reversal of 104497711718400 is 4817117794401.

104497711718400 is a `hidden beast` number, since 1 + 0 + 4 + 49 + 77 + 117 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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 719 ways as a sum of consecutive naturals, for example, 3370893926385 + ... + 3370893926415.

It is an arithmetic number, because the mean of its divisors is an integer number (56044801296).

Almost surely, 2^{104497711718400} is an apocalyptic number.

104497711718400 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 104497711718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282465798531840).

104497711718400 is an abundant number, since it is smaller than the sum of its proper divisors (460433885345280).

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

104497711718400 is a wasteful number, since it uses less digits than its factorization.

104497711718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 104497711718400 in words is "one hundred four trillion, four hundred ninety-seven billion, seven hundred eleven million, seven hundred eighteen thousand, four hundred".