10209799600 has 480 divisors, whose sum is σ = 33756839424. Its totient is φ = 2864332800.

The previous prime is 10209799597. The next prime is 10209799601. The reversal of 10209799600 is 699790201.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (10209799601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17216904 + ... + 17217496.

Almost surely, 2^10209799600 is an apocalyptic number.

10209799600 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 10209799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878419712).

10209799600 is an abundant number, since it is smaller than the sum of its proper divisors (23547039824).

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

10209799600 is a wasteful number, since it uses less digits than its factorization.

10209799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 10209799600 in words is "ten billion, two hundred nine million, seven hundred ninety-nine thousand, six hundred".