54162456000 has 448 divisors, whose sum is σ = 189018525696. Its totient is φ = 13644288000.

The previous prime is 54162455999. The next prime is 54162456037. The reversal of 54162456000 is 65426145.

54162456000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31991154 + ... + 31992846.

It is an arithmetic number, because the mean of its divisors is an integer number (421916352).

Almost surely, 2^54162456000 is an apocalyptic number.

54162456000 is a gapful number since it is divisible by the number (50) 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 54162456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94509262848).

54162456000 is an abundant number, since it is smaller than the sum of its proper divisors (134856069696).

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

54162456000 is a wasteful number, since it uses less digits than its factorization.

54162456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

It can be divided in two parts, 5416245 and 6000, that added together give a palindrome (5422245).

The spelling of 54162456000 in words is "fifty-four billion, one hundred sixty-two million, four hundred fifty-six thousand".