54065278899072 has 768 divisors, whose sum is σ = 189112388774400. Its totient is φ = 14482388680704.

The previous prime is 54065278899061. The next prime is 54065278899133. The reversal of 54065278899072 is 27099887256045.

54065278899072 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 527 + 8 + 8 + 9 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×54065278899072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7073825683 + ... + 7073833325.

It is an arithmetic number, because the mean of its divisors is an integer number (246240089550).

Almost surely, 2^{54065278899072} 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 54065278899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556194387200).

54065278899072 is an abundant number, since it is smaller than the sum of its proper divisors (135047109875328).

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

54065278899072 is a wasteful number, since it uses less digits than its factorization.

54065278899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8163 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 54065278899072 in words is "fifty-four trillion, sixty-five billion, two hundred seventy-eight million, eight hundred ninety-nine thousand, seventy-two".