10368348883200 has 6048 divisors, whose sum is σ = 53189262336000. Its totient is φ = 1975228416000.

The previous prime is 10368348883153. The next prime is 10368348883283. The reversal of 10368348883200 is 238884386301.

10368348883200 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 83 + 488 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 334462867185 + ... + 334462867215.

Almost surely, 2^{10368348883200} is an apocalyptic number.

10368348883200 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 10368348883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26594631168000).

10368348883200 is an abundant number, since it is smaller than the sum of its proper divisors (42820913452800).

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

10368348883200 is an equidigital number, since it uses as much as digits as its factorization.

10368348883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 10368348883200 in words is "ten trillion, three hundred sixty-eight billion, three hundred forty-eight million, eight hundred eighty-three thousand, two hundred".