104986886400 has 1944 divisors, whose sum is σ = 474528940704. Its totient is φ = 22693478400.

The previous prime is 104986886357. The next prime is 104986886441. The reversal of 104986886400 is 4688689401.

104986886400 is a `hidden beast` number, since 10 + 4 + 98 + 68 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×104986886400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5525625591 + ... + 5525625609.

Almost surely, 2^104986886400 is an apocalyptic number.

104986886400 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 104986886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237264470352).

104986886400 is an abundant number, since it is smaller than the sum of its proper divisors (369542054304).

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

104986886400 is a wasteful number, since it uses less digits than its factorization.

104986886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 104986886400 in words is "one hundred four billion, nine hundred eighty-six million, eight hundred eighty-six thousand, four hundred".