54011325135000 has 320 divisors, whose sum is σ = 170607185100000. Its totient is φ = 14243747328000.

The previous prime is 54011325134971. The next prime is 54011325135007. The reversal of 54011325135000 is 53152311045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54011325135007) 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, 511762236 + ... + 511867764.

Almost surely, 2^{54011325135000} is an apocalyptic number.

54011325135000 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 54011325135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85303592550000).

54011325135000 is an abundant number, since it is smaller than the sum of its proper divisors (116595859965000).

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

54011325135000 is a wasteful number, since it uses less digits than its factorization.

54011325135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105936 (or 105917 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 54011325135000 its reverse (53152311045), we get a palindrome (54064477446045).

The spelling of 54011325135000 in words is "fifty-four trillion, eleven billion, three hundred twenty-five million, one hundred thirty-five thousand".