10018209600 has 672 divisors, whose sum is σ = 42355820800. Its totient is φ = 2284277760.

The previous prime is 10018209571. The next prime is 10018209631. The reversal of 10018209600 is 690281001.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24494196 + ... + 24494604.

Almost surely, 2^10018209600 is an apocalyptic number.

10018209600 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 10018209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177910400).

10018209600 is an abundant number, since it is smaller than the sum of its proper divisors (32337611200).

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

10018209600 is an frugal number, since it uses more digits than its factorization.

10018209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10018209600 in words is "ten billion, eighteen million, two hundred nine thousand, six hundred".