54179274240 has 480 divisors, whose sum is σ = 230948093376. Its totient is φ = 11430789120.

The previous prime is 54179274217. The next prime is 54179274271. The reversal of 54179274240 is 4247297145.

54179274240 is a `hidden beast` number, since 54 + 179 + 2 + 7 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2083720 + ... + 2109560.

Almost surely, 2^54179274240 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 54179274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115474046688).

54179274240 is an abundant number, since it is smaller than the sum of its proper divisors (176768819136).

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

54179274240 is a wasteful number, since it uses less digits than its factorization.

54179274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25890 (or 25871 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 54179274240 in words is "fifty-four billion, one hundred seventy-nine million, two hundred seventy-four thousand, two hundred forty".