104775789772800 has 1836 divisors, whose sum is σ = 411355706263320. Its totient is φ = 26469673205760.

The previous prime is 104775789772799. The next prime is 104775789772837. The reversal of 104775789772800 is 8277987577401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

104775789772800 is a `hidden beast` number, since 1 + 0 + 47 + 7 + 578 + 9 + 7 + 7 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×104775789772800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5514515251191 + ... + 5514515251209.

Almost surely, 2^{104775789772800} is an apocalyptic number.

104775789772800 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 104775789772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205677853131660).

104775789772800 is an abundant number, since it is smaller than the sum of its proper divisors (306579916490520).

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

104775789772800 is an frugal number, since it uses more digits than its factorization.

104775789772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 387233280, while the sum is 72.

The spelling of 104775789772800 in words is "one hundred four trillion, seven hundred seventy-five billion, seven hundred eighty-nine million, seven hundred seventy-two thousand, eight hundred".