54612661824 has 336 divisors, whose sum is σ = 183814151040. Its totient is φ = 15180595200.

The previous prime is 54612661813. The next prime is 54612661853. The reversal of 54612661824 is 42816621645.

It is a happy number.

54612661824 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 2 + 6 + 618 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 54612661824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24025552 + ... + 24027824.

Almost surely, 2^54612661824 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 54612661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91907075520).

54612661824 is an abundant number, since it is smaller than the sum of its proper divisors (129201489216).

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

54612661824 is a wasteful number, since it uses less digits than its factorization.

54612661824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2445 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 54612661824 in words is "fifty-four billion, six hundred twelve million, six hundred sixty-one thousand, eight hundred twenty-four".