10019900800 has 384 divisors, whose sum is σ = 32085446400. Its totient is φ = 3002572800.

The previous prime is 10019900797. The next prime is 10019900887. The reversal of 10019900800 is 800991001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5531895 + ... + 5533705.

It is an arithmetic number, because the mean of its divisors is an integer number (83555850).

Almost surely, 2^10019900800 is an apocalyptic number.

10019900800 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 10019900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042723200).

10019900800 is an abundant number, since it is smaller than the sum of its proper divisors (22065545600).

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

10019900800 is a wasteful number, since it uses less digits than its factorization.

10019900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 10019900800 in words is "ten billion, nineteen million, nine hundred thousand, eight hundred".