13778091000 has 192 divisors, whose sum is σ = 47707077600. Its totient is φ = 3584448000.

The previous prime is 13778090999. The next prime is 13778091007. The reversal of 13778091000 is 19087731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778091007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350331 + ... + 387669.

Almost surely, 2^13778091000 is an apocalyptic number.

13778091000 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 13778091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23853538800).

13778091000 is an abundant number, since it is smaller than the sum of its proper divisors (33928986600).

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

13778091000 is a wasteful number, since it uses less digits than its factorization.

13778091000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37407 (or 37390 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 13778091000 in words is "thirteen billion, seven hundred seventy-eight million, ninety-one thousand".