13656000623040 has 336 divisors, whose sum is σ = 48397688250912. Its totient is φ = 3531628781568.

The previous prime is 13656000623033. The next prime is 13656000623059. The reversal of 13656000623040 is 4032600065631.

13656000623040 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 600 + 0 + 6 + 2 + 3 + 0 + 40 = 666.

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 = 13656000622986 and 13656000623004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32505202 + ... + 32922638.

It is an arithmetic number, because the mean of its divisors is an integer number (144040738842).

Almost surely, 2^{13656000623040} is an apocalyptic number.

13656000623040 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 13656000623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198844125456).

13656000623040 is an abundant number, since it is smaller than the sum of its proper divisors (34741687627872).

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

13656000623040 is a wasteful number, since it uses less digits than its factorization.

13656000623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417804 (or 417791 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 13656000623040 its reverse (4032600065631), we get a palindrome (17688600688671).

The spelling of 13656000623040 in words is "thirteen trillion, six hundred fifty-six billion, six hundred twenty-three thousand, forty".