54120545012000 has 96 divisors (see below), whose sum is σ = 133000860296304. Its totient is φ = 21643874304000.

The previous prime is 54120545011961. The next prime is 54120545012003. The reversal of 54120545012000 is 21054502145.

It can be written as a sum of positive squares in 8 ways, for example, as 2836785644176 + 51283759367824 = 1684276^2 + 7161268^2 .

It is not an unprimeable number, because it can be changed into a prime (54120545012003) 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, 18617090 + ... + 21326910.

Almost surely, 2^{54120545012000} is an apocalyptic number.

54120545012000 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 54120545012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66500430148152).

54120545012000 is an abundant number, since it is smaller than the sum of its proper divisors (78880315284304).

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

54120545012000 is a wasteful number, since it uses less digits than its factorization.

54120545012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714839 (or 2714821 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 54120545012000 its reverse (21054502145), we get a palindrome (54141599514145).

The spelling of 54120545012000 in words is "fifty-four trillion, one hundred twenty billion, five hundred forty-five million, twelve thousand".