56054461249152 has 448 divisors, whose sum is σ = 173105400303360. Its totient is φ = 18053363773440.

The previous prime is 56054461249109. The next prime is 56054461249159. The reversal of 56054461249152 is 25194216445065.

56054461249152 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 4 + 4 + 612 + 4 + 9 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56054461249159) 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 55 ways as a sum of consecutive naturals, for example, 1859973028 + ... + 1860003164.

It is an arithmetic number, because the mean of its divisors is an integer number (386395982820).

Almost surely, 2^{56054461249152} 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 56054461249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86552700151680).

56054461249152 is an abundant number, since it is smaller than the sum of its proper divisors (117050939054208).

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

56054461249152 is an equidigital number, since it uses as much as digits as its factorization.

56054461249152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30843 (or 30816 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 56054461249152 in words is "fifty-six trillion, fifty-four billion, four hundred sixty-one million, two hundred forty-nine thousand, one hundred fifty-two".