54538017120 has 384 divisors, whose sum is σ = 198431856000. Its totient is φ = 13973299200.

The previous prime is 54538017109. The next prime is 54538017161. The reversal of 54538017120 is 2171083545.

54538017120 is a `hidden beast` number, since 5 + 453 + 80 + 1 + 7 + 120 = 666.

It is a super-2 number, since 2×54538017120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 28688170 + ... + 28690070.

It is an arithmetic number, because the mean of its divisors is an integer number (516749625).

Almost surely, 2^54538017120 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 54538017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99215928000).

54538017120 is an abundant number, since it is smaller than the sum of its proper divisors (143893838880).

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

54538017120 is a wasteful number, since it uses less digits than its factorization.

54538017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

It can be divided in two parts, 545380 and 17120, that added together give a square (562500 = 750²).

The spelling of 54538017120 in words is "fifty-four billion, five hundred thirty-eight million, seventeen thousand, one hundred twenty".