13825156800 has 672 divisors, whose sum is σ = 57682530304. Its totient is φ = 2820096000.

The previous prime is 13825156799. The next prime is 13825156801. The reversal of 13825156800 is 865152831.

It is an interprime number because it is at equal distance from previous prime (13825156799) and next prime (13825156801).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13825156800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13825156801) 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 95 ways as a sum of consecutive naturals, for example, 13540290 + ... + 13541310.

Almost surely, 2^13825156800 is an apocalyptic number.

13825156800 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 13825156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28841265152).

13825156800 is an abundant number, since it is smaller than the sum of its proper divisors (43857373504).

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

13825156800 is a wasteful number, since it uses less digits than its factorization.

13825156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 13825156800 in words is "thirteen billion, eight hundred twenty-five million, one hundred fifty-six thousand, eight hundred".