54742359421152 has 576 divisors, whose sum is σ = 176035087388160. Its totient is φ = 16633882220544.

The previous prime is 54742359421133. The next prime is 54742359421159. The reversal of 54742359421152 is 25112495324745.

54742359421152 is a `hidden beast` number, since 5 + 4 + 7 + 4 + 23 + 594 + 21 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54742359421159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3382699653 + ... + 3382715835.

It is an arithmetic number, because the mean of its divisors is an integer number (305616471160).

Almost surely, 2^{54742359421152} is an apocalyptic number.

54742359421152 is a gapful number since it is divisible by the number (52) 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 54742359421152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88017543694080).

54742359421152 is an abundant number, since it is smaller than the sum of its proper divisors (121292727967008).

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

54742359421152 is a wasteful number, since it uses less digits than its factorization.

54742359421152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16637 (or 16617 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 54742359421152 in words is "fifty-four trillion, seven hundred forty-two billion, three hundred fifty-nine million, four hundred twenty-one thousand, one hundred fifty-two".