54105601604032 has 112 divisors (see below), whose sum is σ = 125113605776352. Its totient is φ = 22941942087680.

The previous prime is 54105601603979. The next prime is 54105601604039. The reversal of 54105601604032 is 23040610650145.

It is a super-2 number, since 2×54105601604032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54105601603982 and 54105601604000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54105601604039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18651403 + ... + 21356170.

Almost surely, 2^{54105601604032} is an apocalyptic number.

It is an amenable number.

54105601604032 is an abundant number, since it is smaller than the sum of its proper divisors (71008004172320).

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

54105601604032 is a wasteful number, since it uses less digits than its factorization.

54105601604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40007726 (or 40007716 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 54105601604032 in words is "fifty-four trillion, one hundred five billion, six hundred one million, six hundred four thousand, thirty-two".