13620110400 has 504 divisors, whose sum is σ = 53837498624. Its totient is φ = 3243110400.

The previous prime is 13620110351. The next prime is 13620110407. The reversal of 13620110400 is 401102631.

It is a happy number.

13620110400 is a `hidden beast` number, since 1 + 3 + 620 + 1 + 1 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13620110407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5802027 + ... + 5804373.

Almost surely, 2^13620110400 is an apocalyptic number.

13620110400 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 13620110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918749312).

13620110400 is an abundant number, since it is smaller than the sum of its proper divisors (40217388224).

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

13620110400 is a wasteful number, since it uses less digits than its factorization.

13620110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 13620110400 in words is "thirteen billion, six hundred twenty million, one hundred ten thousand, four hundred".