54512342442000 has 400 divisors, whose sum is σ = 201481775269632. Its totient is φ = 14198561798400.

The previous prime is 54512342441993. The next prime is 54512342442001. The reversal of 54512342442000 is 24424321545.

54512342442000 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 23 + 424 + 4 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54512342442001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3053257 + ... + 10878743.

Almost surely, 2^{54512342442000} is an apocalyptic number.

54512342442000 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 54512342442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100740887634816).

54512342442000 is an abundant number, since it is smaller than the sum of its proper divisors (146969432827632).

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

54512342442000 is a wasteful number, since it uses less digits than its factorization.

54512342442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7825565 (or 7825540 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 54512342442000 its reverse (24424321545), we get a palindrome (54536766763545).

The spelling of 54512342442000 in words is "fifty-four trillion, five hundred twelve billion, three hundred forty-two million, four hundred forty-two thousand".