13955580000 has 720 divisors, whose sum is σ = 53299838592. Its totient is φ = 3456000000.

The previous prime is 13955579993. The next prime is 13955580019. The reversal of 13955580000 is 8555931.

It is a happy number.

13955580000 is a `hidden beast` number, since 13 + 95 + 558 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×13955580000³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 228779970 + ... + 228780030.

Almost surely, 2^13955580000 is an apocalyptic number.

13955580000 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 13955580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26649919296).

13955580000 is an abundant number, since it is smaller than the sum of its proper divisors (39344258592).

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

13955580000 is a wasteful number, since it uses less digits than its factorization.

13955580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 13955580000 in words is "thirteen billion, nine hundred fifty-five million, five hundred eighty thousand".