13770240000 has 520 divisors, whose sum is σ = 50358530112. Its totient is φ = 3317760000.

The previous prime is 13770239947. The next prime is 13770240019. The reversal of 13770240000 is 4207731.

It is a super-3 number, since 3×13770240000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84479919 + ... + 84480081.

Almost surely, 2^13770240000 is an apocalyptic number.

13770240000 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 13770240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179265056).

13770240000 is an abundant number, since it is smaller than the sum of its proper divisors (36588290112).

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

13770240000 is an equidigital number, since it uses as much as digits as its factorization.

13770240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

Adding to 13770240000 its reverse (4207731), we get a palindrome (13774447731).

The spelling of 13770240000 in words is "thirteen billion, seven hundred seventy million, two hundred forty thousand".