13785560100 has 648 divisors, whose sum is σ = 51602544448. Its totient is φ = 3172608000.

The previous prime is 13785560077. The next prime is 13785560101. The reversal of 13785560100 is 106558731.

13785560100 is a `hidden beast` number, since 1 + 3 + 7 + 85 + 560 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13785560101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 91295025 + ... + 91295175.

Almost surely, 2^13785560100 is an apocalyptic number.

13785560100 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 13785560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801272224).

13785560100 is an abundant number, since it is smaller than the sum of its proper divisors (37816984348).

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

13785560100 is a wasteful number, since it uses less digits than its factorization.

13785560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 13785560100 in words is "thirteen billion, seven hundred eighty-five million, five hundred sixty thousand, one hundred".