54405906253056 has 720 divisors, whose sum is σ = 172972370894400. Its totient is φ = 16978575753216.

The previous prime is 54405906253037. The next prime is 54405906253103. The reversal of 54405906253056 is 65035260950445.

54405906253056 is a `hidden beast` number, since 5 + 4 + 4 + 0 + 5 + 9 + 0 + 625 + 3 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54405906252993 and 54405906253011.

It is a congruent number.

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, 3594225520 + ... + 3594240656.

It is an arithmetic number, because the mean of its divisors is an integer number (240239404020).

Almost surely, 2^{54405906253056} 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 54405906253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486185447200).

54405906253056 is an abundant number, since it is smaller than the sum of its proper divisors (118566464641344).

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

54405906253056 is a wasteful number, since it uses less digits than its factorization.

54405906253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15376 (or 15353 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 54405906253056 in words is "fifty-four trillion, four hundred five billion, nine hundred six million, two hundred fifty-three thousand, fifty-six".