54009495072 has 72 divisors (see below), whose sum is σ = 165404090124. Its totient is φ = 16618305024.

The previous prime is 54009495061. The next prime is 54009495077. The reversal of 54009495072 is 27059490045.

54009495072 is a `hidden beast` number, since 5 + 400 + 94 + 95 + 0 + 72 = 666.

54009495072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51585311376 + 2424183696 = 227124^2 + 49236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (54009495077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7209063 + ... + 7216550.

Almost surely, 2^54009495072 is an apocalyptic number.

54009495072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54009495072 is an abundant number, since it is smaller than the sum of its proper divisors (111394595052).

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

54009495072 is a wasteful number, since it uses less digits than its factorization.

54009495072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425642 (or 14425631 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 54009 and 495072, that added together give a square (549081 = 741²).

The spelling of 54009495072 in words is "fifty-four billion, nine million, four hundred ninety-five thousand, seventy-two".