10004860800 has 960 divisors, whose sum is σ = 42009699600. Its totient is φ = 2341785600.

The previous prime is 10004860769. The next prime is 10004860807. The reversal of 10004860800 is 806840001.

10004860800 is a `hidden beast` number, since 10 + 0 + 0 + 48 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004860807) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 344995186 + ... + 344995214.

Almost surely, 2^10004860800 is an apocalyptic number.

10004860800 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 10004860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21004849800).

10004860800 is an abundant number, since it is smaller than the sum of its proper divisors (32004838800).

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

10004860800 is an equidigital number, since it uses as much as digits as its factorization.

10004860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10004860800 in words is "ten billion, four million, eight hundred sixty thousand, eight hundred".