54160928640 has 1536 divisors, whose sum is σ = 247005158400. Its totient is φ = 11036196864.

The previous prime is 54160928639. The next prime is 54160928687. The reversal of 54160928640 is 4682906145.

54160928640 is a `hidden beast` number, since 541 + 60 + 9 + 2 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×54160928640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 608549716 + ... + 608549804.

It is an arithmetic number, because the mean of its divisors is an integer number (160810650).

Almost surely, 2^54160928640 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 54160928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123502579200).

54160928640 is an abundant number, since it is smaller than the sum of its proper divisors (192844229760).

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

54160928640 is a wasteful number, since it uses less digits than its factorization.

54160928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 54160928640 in words is "fifty-four billion, one hundred sixty million, nine hundred twenty-eight thousand, six hundred forty".