10025368836200 has 96 divisors (see below), whose sum is σ = 24718487290560. Its totient is φ = 3768385920000.

The previous prime is 10025368836187. The next prime is 10025368836211. The reversal of 10025368836200 is 263886352001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106676 + ... + 4479075.

It is an arithmetic number, because the mean of its divisors is an integer number (257484242610).

Almost surely, 2^{10025368836200} is an apocalyptic number.

10025368836200 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 10025368836200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359243645280).

10025368836200 is an abundant number, since it is smaller than the sum of its proper divisors (14693118454360).

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

10025368836200 is a wasteful number, since it uses less digits than its factorization.

10025368836200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586427 (or 4586418 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 10025368836200 in words is "ten trillion, twenty-five billion, three hundred sixty-eight million, eight hundred thirty-six thousand, two hundred".