13048711200 has 864 divisors, whose sum is σ = 56052412416. Its totient is φ = 2900136960.

The previous prime is 13048711183. The next prime is 13048711229. The reversal of 13048711200 is 211784031.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58514289 + ... + 58514511.

Almost surely, 2^13048711200 is an apocalyptic number.

13048711200 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 13048711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026206208).

13048711200 is an abundant number, since it is smaller than the sum of its proper divisors (43003701216).

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

13048711200 is a wasteful number, since it uses less digits than its factorization.

13048711200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 13048711200 in words is "thirteen billion, forty-eight million, seven hundred eleven thousand, two hundred".