55546125624 has 384 divisors, whose sum is σ = 183465216000. Its totient is φ = 15424473600.

The previous prime is 55546125623. The next prime is 55546125641. The reversal of 55546125624 is 42652164555.

55546125624 is a `hidden beast` number, since 5 + 5 + 5 + 4 + 6 + 12 + 5 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55546125624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55546125623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26588772 + ... + 26590860.

It is an arithmetic number, because the mean of its divisors is an integer number (477774000).

Almost surely, 2^55546125624 is an apocalyptic number.

55546125624 is a gapful number since it is divisible by the number (54) 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 55546125624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91732608000).

55546125624 is an abundant number, since it is smaller than the sum of its proper divisors (127919090376).

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

55546125624 is a wasteful number, since it uses less digits than its factorization.

55546125624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2155 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 55546125624 in words is "fifty-five billion, five hundred forty-six million, one hundred twenty-five thousand, six hundred twenty-four".