13780185720 has 384 divisors, whose sum is σ = 52573224960. Its totient is φ = 2868203520.

The previous prime is 13780185719. The next prime is 13780185721. The reversal of 13780185720 is 2758108731.

It is an interprime number because it is at equal distance from previous prime (13780185719) and next prime (13780185721).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780185721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3096537 + ... + 3100983.

It is an arithmetic number, because the mean of its divisors is an integer number (136909440).

Almost surely, 2^13780185720 is an apocalyptic number.

13780185720 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 13780185720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26286612480).

13780185720 is an abundant number, since it is smaller than the sum of its proper divisors (38793039240).

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

13780185720 is a wasteful number, since it uses less digits than its factorization.

13780185720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 13780185720 in words is "thirteen billion, seven hundred eighty million, one hundred eighty-five thousand, seven hundred twenty".