13048862509200 has 960 divisors, whose sum is σ = 51601600143360. Its totient is φ = 2751060049920.

The previous prime is 13048862509181. The next prime is 13048862509211. The reversal of 13048862509200 is 290526884031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13048862509200.

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, 1545520179 + ... + 1545528621.

It is an arithmetic number, because the mean of its divisors is an integer number (53751666816).

Almost surely, 2^{13048862509200} is an apocalyptic number.

13048862509200 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 13048862509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25800800071680).

13048862509200 is an abundant number, since it is smaller than the sum of its proper divisors (38552737634160).

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

13048862509200 is a wasteful number, since it uses less digits than its factorization.

13048862509200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 13048862509200 in words is "thirteen trillion, forty-eight billion, eight hundred sixty-two million, five hundred nine thousand, two hundred".