13085607780 has 768 divisors, whose sum is σ = 51093504000. Its totient is φ = 2773854720.

The previous prime is 13085607767. The next prime is 13085607797. The reversal of 13085607780 is 8770658031.

13085607780 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 560 + 7 + 7 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 246898234 + ... + 246898286.

It is an arithmetic number, because the mean of its divisors is an integer number (66528000).

Almost surely, 2^13085607780 is an apocalyptic number.

13085607780 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 13085607780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546752000).

13085607780 is an abundant number, since it is smaller than the sum of its proper divisors (38007896220).

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

13085607780 is a wasteful number, since it uses less digits than its factorization.

13085607780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 13085607780 in words is "thirteen billion, eighty-five million, six hundred seven thousand, seven hundred eighty".