10366087200 has 432 divisors, whose sum is σ = 39548343744. Its totient is φ = 2351462400.

The previous prime is 10366087183. The next prime is 10366087217. The reversal of 10366087200 is 278066301.

It is an interprime number because it is at equal distance from previous prime (10366087183) and next prime (10366087217).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21285357 + ... + 21285843.

It is an arithmetic number, because the mean of its divisors is an integer number (91547092).

Almost surely, 2^10366087200 is an apocalyptic number.

10366087200 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 10366087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19774171872).

10366087200 is an abundant number, since it is smaller than the sum of its proper divisors (29182256544).

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

10366087200 is a wasteful number, since it uses less digits than its factorization.

10366087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10366087200 in words is "ten billion, three hundred sixty-six million, eighty-seven thousand, two hundred".