54240294850560 has 4368 divisors, whose sum is σ = 251022296052864. Its totient is φ = 11000651710464.

The previous prime is 54240294850543. The next prime is 54240294850603. The reversal of 54240294850560 is 6505849204245.

54240294850560 is a `hidden beast` number, since 5 + 4 + 2 + 4 + 0 + 29 + 4 + 8 + 50 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

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

It is a junction number, because it is equal to n+sod(n) for n = 54240294850497 and 54240294850506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 653497528279 + ... + 653497528361.

Almost surely, 2^{54240294850560} 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 54240294850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125511148026432).

54240294850560 is an abundant number, since it is smaller than the sum of its proper divisors (196782001202304).

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

54240294850560 is an equidigital number, since it uses as much as digits as its factorization.

54240294850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 54240294850560 in words is "fifty-four trillion, two hundred forty billion, two hundred ninety-four million, eight hundred fifty thousand, five hundred sixty".