13037985180 has 288 divisors, whose sum is σ = 45702558720. Its totient is φ = 3092878080.

The previous prime is 13037985143. The next prime is 13037985209. The reversal of 13037985180 is 8158973031.

13037985180 is a `hidden beast` number, since 13 + 0 + 37 + 98 + 518 + 0 = 666.

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 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, 2510026 + ... + 2515214.

It is an arithmetic number, because the mean of its divisors is an integer number (158689440).

Almost surely, 2^13037985180 is an apocalyptic number.

13037985180 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 13037985180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22851279360).

13037985180 is an abundant number, since it is smaller than the sum of its proper divisors (32664573540).

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

13037985180 is a wasteful number, since it uses less digits than its factorization.

13037985180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 13037985180 in words is "thirteen billion, thirty-seven million, nine hundred eighty-five thousand, one hundred eighty".