55461846528 has 480 divisors, whose sum is σ = 183385762560. Its totient is φ = 16534425600.

The previous prime is 55461846527. The next prime is 55461846541. The reversal of 55461846528 is 82564816455.

55461846528 is a `hidden beast` number, since 5 + 54 + 61 + 8 + 4 + 6 + 528 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55461846521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118761751 + ... + 118762217.

It is an arithmetic number, because the mean of its divisors is an integer number (382053672).

Almost surely, 2^55461846528 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 55461846528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91692881280).

55461846528 is an abundant number, since it is smaller than the sum of its proper divisors (127923916032).

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

55461846528 is a wasteful number, since it uses less digits than its factorization.

55461846528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 554 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 55461846528 in words is "fifty-five billion, four hundred sixty-one million, eight hundred forty-six thousand, five hundred twenty-eight".