54959562958080 has 576 divisors, whose sum is σ = 198525252280320. Its totient is φ = 12837364531200.

The previous prime is 54959562958067. The next prime is 54959562958147. The reversal of 54959562958080 is 8085926595945.

It is a junction number, because it is equal to n+sod(n) for n = 54959562957993 and 54959562958011.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 299770119 + ... + 299953401.

It is an arithmetic number, because the mean of its divisors is an integer number (344661896320).

Almost surely, 2^{54959562958080} 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 54959562958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99262626140160).

54959562958080 is an abundant number, since it is smaller than the sum of its proper divisors (143565689322240).

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

54959562958080 is a wasteful number, since it uses less digits than its factorization.

54959562958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183578 (or 183564 counting only the distinct ones).

The product of its (nonzero) digits is 1399680000, while the sum is 75.

The spelling of 54959562958080 in words is "fifty-four trillion, nine hundred fifty-nine billion, five hundred sixty-two million, nine hundred fifty-eight thousand, eighty".