13250223840 has 192 divisors, whose sum is σ = 47782780416. Its totient is φ = 3023419392.

The previous prime is 13250223839. The next prime is 13250223901. The reversal of 13250223840 is 4832205231.

13250223840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13250223798 and 13250223807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157414 + ... + 2163546.

It is an arithmetic number, because the mean of its divisors is an integer number (248868648).

Almost surely, 2^13250223840 is an apocalyptic number.

13250223840 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 13250223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891390208).

13250223840 is an abundant number, since it is smaller than the sum of its proper divisors (34532556576).

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

13250223840 is a wasteful number, since it uses less digits than its factorization.

13250223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 13250223840 in words is "thirteen billion, two hundred fifty million, two hundred twenty-three thousand, eight hundred forty".