13455640332288 has 960 divisors, whose sum is σ = 51332394072960. Its totient is φ = 3409595596800.

The previous prime is 13455640332271. The next prime is 13455640332311. The reversal of 13455640332288 is 88223304655431.

13455640332288 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 5 + 6 + 403 + 3 + 228 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 523695570 + ... + 523721262.

It is an arithmetic number, because the mean of its divisors is an integer number (53471243826).

Almost surely, 2^{13455640332288} is an apocalyptic number.

13455640332288 is a gapful number since it is divisible by the number (18) 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 13455640332288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25666197036480).

13455640332288 is an abundant number, since it is smaller than the sum of its proper divisors (37876753740672).

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

13455640332288 is a wasteful number, since it uses less digits than its factorization.

13455640332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25786 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 13455640332288 in words is "thirteen trillion, four hundred fifty-five billion, six hundred forty million, three hundred thirty-two thousand, two hundred eighty-eight".