13155056640 has 704 divisors, whose sum is σ = 52492285440. Its totient is φ = 3096576000.

The previous prime is 13155056639. The next prime is 13155056653. The reversal of 13155056640 is 4665055131.

13155056640 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 5 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 13155056595 and 13155056604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62346135 + ... + 62346345.

Almost surely, 2^13155056640 is an apocalyptic number.

13155056640 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 13155056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26246142720).

13155056640 is an abundant number, since it is smaller than the sum of its proper divisors (39337228800).

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

13155056640 is a wasteful number, since it uses less digits than its factorization.

13155056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

It can be divided in two parts, 131 and 55056640, that added together give a triangular number (55056771 = T₁₀₄₉₃).

The spelling of 13155056640 in words is "thirteen billion, one hundred fifty-five million, fifty-six thousand, six hundred forty".