54297188640 has 144 divisors (see below), whose sum is σ = 185563804608. Its totient is φ = 14457788928.

The previous prime is 54297188633. The next prime is 54297188657. The reversal of 54297188640 is 4688179245.

It is a happy number.

54297188640 is a `hidden beast` number, since 542 + 9 + 7 + 18 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955917 + ... + 1011123.

It is an arithmetic number, because the mean of its divisors is an integer number (1288637532).

Almost surely, 2^54297188640 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 54297188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92781902304).

54297188640 is an abundant number, since it is smaller than the sum of its proper divisors (131266615968).

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

54297188640 is a wasteful number, since it uses less digits than its factorization.

54297188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55911 (or 55900 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 54297188640 in words is "fifty-four billion, two hundred ninety-seven million, one hundred eighty-eight thousand, six hundred forty".