54624016320640 has 128 divisors (see below), whose sum is σ = 140716523067120. Its totient is φ = 20156541911040.

The previous prime is 54624016320623. The next prime is 54624016320661. The reversal of 54624016320640 is 4602361042645.

It can be written as a sum of positive squares in 8 ways, for example, as 5073341798464 + 49550674522176 = 2252408^2 + 7039224^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11614530 + ... + 15625150.

Almost surely, 2^{54624016320640} 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 54624016320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70358261533560).

54624016320640 is an abundant number, since it is smaller than the sum of its proper divisors (86092506746480).

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

54624016320640 is a wasteful number, since it uses less digits than its factorization.

54624016320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012290 (or 4012278 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 54624016320640 in words is "fifty-four trillion, six hundred twenty-four billion, sixteen million, three hundred twenty thousand, six hundred forty".