10098612800 has 42 divisors (see below), whose sum is σ = 24848903058. Its totient is φ = 4039444480.

The previous prime is 10098612791. The next prime is 10098612827. The reversal of 10098612800 is 821689001.

It can be written as a sum of positive squares in 3 ways, for example, as 577537024 + 9521075776 = 24032^2 + 97576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3154217 + ... + 3157416.

It is an arithmetic number, because the mean of its divisors is an integer number (591640549).

Almost surely, 2^10098612800 is an apocalyptic number.

10098612800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10098612800 is an abundant number, since it is smaller than the sum of its proper divisors (14750290258).

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

10098612800 is an equidigital number, since it uses as much as digits as its factorization.

10098612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311655 (or 6311640 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 10098612800 in words is "ten billion, ninety-eight million, six hundred twelve thousand, eight hundred".