54013013512000 has 224 divisors, whose sum is σ = 138738709807776. Its totient is φ = 20813137920000.

The previous prime is 54013013511991. The next prime is 54013013512013. The reversal of 54013013512000 is 21531031045.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 528715128384 + 53484298383616 = 727128^2 + 7313296^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28992652 + ... + 30799348.

Almost surely, 2^{54013013512000} is an apocalyptic number.

54013013512000 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 54013013512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69369354903888).

54013013512000 is an abundant number, since it is smaller than the sum of its proper divisors (84725696295776).

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

54013013512000 is a wasteful number, since it uses less digits than its factorization.

54013013512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806862 (or 1806842 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 54013013512000 its reverse (21531031045), we get a palindrome (54034544543045).

The spelling of 54013013512000 in words is "fifty-four trillion, thirteen billion, thirteen million, five hundred twelve thousand".