54659045016576 has 6336 divisors, whose sum is σ = 246590929428480. Its totient is φ = 11845517967360.

The previous prime is 54659045016559. The next prime is 54659045016581. The reversal of 54659045016576 is 67561054095645.

54659045016576 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 9 + 0 + 4 + 50 + 1 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×54659045016576² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 1162958404585 + ... + 1162958404631.

Almost surely, 2^{54659045016576} is an apocalyptic number.

54659045016576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54659045016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123295464714240).

54659045016576 is an abundant number, since it is smaller than the sum of its proper divisors (191931884411904).

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

54659045016576 is a wasteful number, since it uses less digits than its factorization.

54659045016576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 54659045016576 in words is "fifty-four trillion, six hundred fifty-nine billion, forty-five million, sixteen thousand, five hundred seventy-six".