13618977120 has 960 divisors, whose sum is σ = 58802236416. Its totient is φ = 2901381120.

The previous prime is 13618977101. The next prime is 13618977161. The reversal of 13618977120 is 2177981631.

13618977120 is a `hidden beast` number, since 1 + 3 + 618 + 9 + 7 + 7 + 1 + 20 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 127280107 + ... + 127280213.

Almost surely, 2^13618977120 is an apocalyptic number.

13618977120 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 13618977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29401118208).

13618977120 is an abundant number, since it is smaller than the sum of its proper divisors (45183259296).

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

13618977120 is a wasteful number, since it uses less digits than its factorization.

13618977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 13618977120 in words is "thirteen billion, six hundred eighteen million, nine hundred seventy-seven thousand, one hundred twenty".