54959614644480 has 1152 divisors, whose sum is σ = 217459241975808. Its totient is φ = 11519630770176.

The previous prime is 54959614644437. The next prime is 54959614644481. The reversal of 54959614644480 is 8444641695945.

It is not an unprimeable number, because it can be changed into a prime (54959614644481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50560822497 + ... + 50560823583.

It is an arithmetic number, because the mean of its divisors is an integer number (188766703104).

Almost surely, 2^{54959614644480} 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 54959614644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108729620987904).

54959614644480 is an abundant number, since it is smaller than the sum of its proper divisors (162499627331328).

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

54959614644480 is a wasteful number, since it uses less digits than its factorization.

54959614644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 69.

The spelling of 54959614644480 in words is "fifty-four trillion, nine hundred fifty-nine billion, six hundred fourteen million, six hundred forty-four thousand, four hundred eighty".