54500179968 has 450 divisors, whose sum is σ = 177036562164. Its totient is φ = 16769286144.

The previous prime is 54500179967. The next prime is 54500180017. The reversal of 54500179968 is 86997100545.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54500179968 is a `hidden beast` number, since 5 + 4 + 500 + 1 + 79 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54500179967) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4192321530 + ... + 4192321542.

Almost surely, 2^54500179968 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 54500179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88518281082).

54500179968 is an abundant number, since it is smaller than the sum of its proper divisors (122536382196).

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

54500179968 is an frugal number, since it uses more digits than its factorization.

54500179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 54500179968 in words is "fifty-four billion, five hundred million, one hundred seventy-nine thousand, nine hundred sixty-eight".