13985053056 has 640 divisors, whose sum is σ = 48657100800. Its totient is φ = 3950456832.

The previous prime is 13985053031. The next prime is 13985053057. The reversal of 13985053056 is 65035058931.

13985053056 is a `hidden beast` number, since 1 + 3 + 98 + 505 + 3 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985053057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110118465 + ... + 110118591.

It is an arithmetic number, because the mean of its divisors is an integer number (76026720).

Almost surely, 2^13985053056 is an apocalyptic number.

13985053056 is a gapful number since it is divisible by the number (16) 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 13985053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328550400).

13985053056 is an abundant number, since it is smaller than the sum of its proper divisors (34672047744).

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

13985053056 is a wasteful number, since it uses less digits than its factorization.

13985053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 13985053056 in words is "thirteen billion, nine hundred eighty-five million, fifty-three thousand, fifty-six".