13973355360 has 576 divisors, whose sum is σ = 54238766400. Its totient is φ = 3386105856.

The previous prime is 13973355349. The next prime is 13973355367. The reversal of 13973355360 is 6355337931.

13973355360 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 33 + 553 + 60 = 666.

It is a super-3 number, since 3×13973355360³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13973355367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481839826 + ... + 481839854.

It is an arithmetic number, because the mean of its divisors is an integer number (94164525).

Almost surely, 2^13973355360 is an apocalyptic number.

13973355360 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 13973355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27119383200).

13973355360 is an abundant number, since it is smaller than the sum of its proper divisors (40265411040).

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

13973355360 is an frugal number, since it uses more digits than its factorization.

13973355360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 45.

The spelling of 13973355360 in words is "thirteen billion, nine hundred seventy-three million, three hundred fifty-five thousand, three hundred sixty".