13425870000 has 200 divisors, whose sum is σ = 43510072320. Its totient is φ = 3566240000.

The previous prime is 13425869999. The next prime is 13425870001. The reversal of 13425870000 is 7852431.

It is an interprime number because it is at equal distance from previous prime (13425869999) and next prime (13425870001).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13425870000.

It is not an unprimeable number, because it can be changed into a prime (13425870001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9329281 + ... + 9330719.

Almost surely, 2^13425870000 is an apocalyptic number.

13425870000 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 13425870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755036160).

13425870000 is an abundant number, since it is smaller than the sum of its proper divisors (30084202320).

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

13425870000 is a wasteful number, since it uses less digits than its factorization.

13425870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 13425870000 in words is "thirteen billion, four hundred twenty-five million, eight hundred seventy thousand".