54013434740760 has 512 divisors, whose sum is σ = 195255285350400. Its totient is φ = 11811722926080.

The previous prime is 54013434740743. The next prime is 54013434740773. The reversal of 54013434740760 is 6704743431045.

54013434740760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54013434740760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37145569 + ... + 38572271.

It is an arithmetic number, because the mean of its divisors is an integer number (381357979200).

Almost surely, 2^{54013434740760} 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 54013434740760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97627642675200).

54013434740760 is an abundant number, since it is smaller than the sum of its proper divisors (141241850609640).

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

54013434740760 is a wasteful number, since it uses less digits than its factorization.

54013434740760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426823 (or 1426819 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 48.

The spelling of 54013434740760 in words is "fifty-four trillion, thirteen billion, four hundred thirty-four million, seven hundred forty thousand, seven hundred sixty".