54217467360 has 864 divisors, whose sum is σ = 227194269120. Its totient is φ = 11519262720.

The previous prime is 54217467289. The next prime is 54217467383. The reversal of 54217467360 is 6376471245.

54217467360 is a `hidden beast` number, since 542 + 1 + 7 + 46 + 7 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 280919424 + ... + 280919616.

It is an arithmetic number, because the mean of its divisors is an integer number (262956330).

Almost surely, 2^54217467360 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 54217467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113597134560).

54217467360 is an abundant number, since it is smaller than the sum of its proper divisors (172976801760).

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

54217467360 is a wasteful number, since it uses less digits than its factorization.

54217467360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 54217467360 in words is "fifty-four billion, two hundred seventeen million, four hundred sixty-seven thousand, three hundred sixty".