54056298240 has 864 divisors, whose sum is σ = 225736580160. Its totient is φ = 12212895744.

The previous prime is 54056298239. The next prime is 54056298269. The reversal of 54056298240 is 4289265045.

54056298240 is a `hidden beast` number, since 5 + 4 + 0 + 562 + 9 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 232001164 + ... + 232001396.

It is an arithmetic number, because the mean of its divisors is an integer number (261269190).

Almost surely, 2^54056298240 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 54056298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112868290080).

54056298240 is an abundant number, since it is smaller than the sum of its proper divisors (171680281920).

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

54056298240 is a wasteful number, since it uses less digits than its factorization.

54056298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 54056298240 in words is "fifty-four billion, fifty-six million, two hundred ninety-eight thousand, two hundred forty".