13777050240 has 576 divisors, whose sum is σ = 52578101160. Its totient is φ = 3439853568.

The previous prime is 13777050227. The next prime is 13777050283. The reversal of 13777050240 is 4205077731.

13777050240 is a `hidden beast` number, since 13 + 77 + 70 + 502 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11156429376 + 2620620864 = 105624^2 + 51192^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13777050240² (a number of 21 digits) contains 22 as substring.

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 = 13777050195 and 13777050204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71383584 + ... + 71383776.

Almost surely, 2^13777050240 is an apocalyptic number.

13777050240 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 13777050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289050580).

13777050240 is an abundant number, since it is smaller than the sum of its proper divisors (38801050920).

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

13777050240 is an frugal number, since it uses more digits than its factorization.

13777050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 220 counting only the distinct ones).

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

The spelling of 13777050240 in words is "thirteen billion, seven hundred seventy-seven million, fifty thousand, two hundred forty".