13770570240 has 800 divisors, whose sum is σ = 57752196480. Its totient is φ = 3070918656.

The previous prime is 13770570227. The next prime is 13770570241. The reversal of 13770570240 is 4207507731.

13770570240 is a `hidden beast` number, since 13 + 7 + 70 + 570 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13770570195 and 13770570204.

It is not an unprimeable number, because it can be changed into a prime (13770570241) 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 79 ways as a sum of consecutive naturals, for example, 76930471 + ... + 76930649.

Almost surely, 2^13770570240 is an apocalyptic number.

13770570240 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 13770570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28876098240).

13770570240 is an abundant number, since it is smaller than the sum of its proper divisors (43981626240).

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

13770570240 is an equidigital number, since it uses as much as digits as its factorization.

13770570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 13770570240 in words is "thirteen billion, seven hundred seventy million, five hundred seventy thousand, two hundred forty".