54424134514120 has 256 divisors, whose sum is σ = 144855831859200. Its totient is φ = 18016060124160.

The previous prime is 54424134514109. The next prime is 54424134514171. The reversal of 54424134514120 is 2141543142445.

It is a super-2 number, since 2×54424134514120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593851261 + ... + 593942899.

It is an arithmetic number, because the mean of its divisors is an integer number (565843093200).

Almost surely, 2^{54424134514120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54424134514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72427915929600).

54424134514120 is an abundant number, since it is smaller than the sum of its proper divisors (90431697345080).

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

54424134514120 is a wasteful number, since it uses less digits than its factorization.

54424134514120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92268 (or 92264 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 54424134514120 its reverse (2141543142445), we get a palindrome (56565677656565).

The spelling of 54424134514120 in words is "fifty-four trillion, four hundred twenty-four billion, one hundred thirty-four million, five hundred fourteen thousand, one hundred twenty".