54023145132000 has 768 divisors, whose sum is σ = 206015095802880. Its totient is φ = 12237225984000.

The previous prime is 54023145131939. The next prime is 54023145132067. The reversal of 54023145132000 is 23154132045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182936464 + ... + 183231536.

It is an arithmetic number, because the mean of its divisors is an integer number (268248822660).

Almost surely, 2^{54023145132000} is an apocalyptic number.

54023145132000 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 54023145132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103007547901440).

54023145132000 is an abundant number, since it is smaller than the sum of its proper divisors (151991950670880).

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

54023145132000 is a wasteful number, since it uses less digits than its factorization.

54023145132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295204 (or 295186 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 54023145132000 its reverse (23154132045), we get a palindrome (54046299264045).

It can be divided in two parts, 54023145 and 132000, that added together give a palindrome (54155145).

The spelling of 54023145132000 in words is "fifty-four trillion, twenty-three billion, one hundred forty-five million, one hundred thirty-two thousand".