13135522400 has 576 divisors, whose sum is σ = 44097177600. Its totient is φ = 3688243200.

The previous prime is 13135522369. The next prime is 13135522417. The reversal of 13135522400 is 422553131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13135522400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37637426 + ... + 37637774.

It is an arithmetic number, because the mean of its divisors is an integer number (76557600).

Almost surely, 2^13135522400 is an apocalyptic number.

13135522400 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 13135522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048588800).

13135522400 is an abundant number, since it is smaller than the sum of its proper divisors (30961655200).

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

13135522400 is a wasteful number, since it uses less digits than its factorization.

13135522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

It can be divided in two parts, 13135 and 522400, that added together give a palindrome (535535).

The spelling of 13135522400 in words is "thirteen billion, one hundred thirty-five million, five hundred twenty-two thousand, four hundred".