13780685520 has 1440 divisors, whose sum is σ = 63351445248. Its totient is φ = 2759049216.

The previous prime is 13780685473. The next prime is 13780685549. The reversal of 13780685520 is 2558608731.

13780685520 is a `hidden beast` number, since 1 + 37 + 8 + 0 + 68 + 552 + 0 = 666.

It is a super-2 number, since 2×13780685520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 372450942 + ... + 372450978.

Almost surely, 2^13780685520 is an apocalyptic number.

13780685520 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 13780685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31675722624).

13780685520 is an abundant number, since it is smaller than the sum of its proper divisors (49570759728).

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

13780685520 is a wasteful number, since it uses less digits than its factorization.

13780685520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 13780685520 in words is "thirteen billion, seven hundred eighty million, six hundred eighty-five thousand, five hundred twenty".