13650855120 has 360 divisors, whose sum is σ = 55650830976. Its totient is φ = 2984357376.

The previous prime is 13650855107. The next prime is 13650855133. The reversal of 13650855120 is 2155805631.

It is a happy number.

13650855120 is a `hidden beast` number, since 1 + 3 + 65 + 0 + 85 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13650855107) and next prime (13650855133).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 803029 + ... + 819851.

Almost surely, 2^13650855120 is an apocalyptic number.

13650855120 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 13650855120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825415488).

13650855120 is an abundant number, since it is smaller than the sum of its proper divisors (41999975856).

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

13650855120 is a wasteful number, since it uses less digits than its factorization.

13650855120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16879 (or 16863 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 13650855120 in words is "thirteen billion, six hundred fifty million, eight hundred fifty-five thousand, one hundred twenty".