54105601604040 has 512 divisors, whose sum is σ = 206590080614400. Its totient is φ = 12338612997120.

The previous prime is 54105601604039. The next prime is 54105601604101. The reversal of 54105601604040 is 4040610650145.

54105601604040 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 5 + 6 + 0 + 1 + 604 + 0 + 40 = 666.

54105601604040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54105601604040² (a number of 28 digits) contains 22 as substring.

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 = 54105601603986 and 54105601604004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9824874967 + ... + 9824880473.

It is an arithmetic number, because the mean of its divisors is an integer number (403496251200).

Almost surely, 2^{54105601604040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54105601604040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103295040307200).

54105601604040 is an abundant number, since it is smaller than the sum of its proper divisors (152484479010360).

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

54105601604040 is a wasteful number, since it uses less digits than its factorization.

54105601604040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8282 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54105601604040 in words is "fifty-four trillion, one hundred five billion, six hundred one million, six hundred four thousand, forty".