10048264861800 has 768 divisors, whose sum is σ = 35401214177280. Its totient is φ = 2336735232000.

The previous prime is 10048264861751. The next prime is 10048264861813. The reversal of 10048264861800 is 816846284001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10048264861800.

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 191 ways as a sum of consecutive naturals, for example, 3219564240 + ... + 3219567360.

It is an arithmetic number, because the mean of its divisors is an integer number (46095330960).

Almost surely, 2^{10048264861800} is an apocalyptic number.

10048264861800 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 10048264861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700607088640).

10048264861800 is an abundant number, since it is smaller than the sum of its proper divisors (25352949315480).

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

10048264861800 is a wasteful number, since it uses less digits than its factorization.

10048264861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 10048264861800 in words is "ten trillion, forty-eight billion, two hundred sixty-four million, eight hundred sixty-one thousand, eight hundred".