10709884800 has 336 divisors, whose sum is σ = 39675637680. Its totient is φ = 2855347200.

The previous prime is 10709884799. The next prime is 10709884813. The reversal of 10709884800 is 848890701.

10709884800 is a `hidden beast` number, since 10 + 70 + 98 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×10709884800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2330505 + ... + 2335095.

It is an arithmetic number, because the mean of its divisors is an integer number (118082255).

Almost surely, 2^10709884800 is an apocalyptic number.

10709884800 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 10709884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837818840).

10709884800 is an abundant number, since it is smaller than the sum of its proper divisors (28965752880).

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

10709884800 is an frugal number, since it uses more digits than its factorization.

10709884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10709884800 in words is "ten billion, seven hundred nine million, eight hundred eighty-four thousand, eight hundred".