55025595648 has 288 divisors, whose sum is σ = 172804665600. Its totient is φ = 17211654144.

The previous prime is 55025595643. The next prime is 55025595661. The reversal of 55025595648 is 84659552055.

It is a happy number.

55025595648 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 5 + 595 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 55025595594 and 55025595603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55025595643) 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 31 ways as a sum of consecutive naturals, for example, 66859365 + ... + 66860187.

It is an arithmetic number, because the mean of its divisors is an integer number (600016200).

Almost surely, 2^55025595648 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 55025595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86402332800).

55025595648 is an abundant number, since it is smaller than the sum of its proper divisors (117779069952).

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

55025595648 is a wasteful number, since it uses less digits than its factorization.

55025595648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 54.

The spelling of 55025595648 in words is "fifty-five billion, twenty-five million, five hundred ninety-five thousand, six hundred forty-eight".