13486835200 has 240 divisors, whose sum is σ = 35376485760. Its totient is φ = 5087232000.

The previous prime is 13486835101. The next prime is 13486835203. The reversal of 13486835200 is 253868431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13486835203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16268386 + ... + 16269214.

It is an arithmetic number, because the mean of its divisors is an integer number (147402024).

Almost surely, 2^13486835200 is an apocalyptic number.

13486835200 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 13486835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688242880).

13486835200 is an abundant number, since it is smaller than the sum of its proper divisors (21889650560).

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

13486835200 is an equidigital number, since it uses as much as digits as its factorization.

13486835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 13486835200 in words is "thirteen billion, four hundred eighty-six million, eight hundred thirty-five thousand, two hundred".