55077340560 has 320 divisors, whose sum is σ = 193809024000. Its totient is φ = 12816455680.

The previous prime is 55077340501. The next prime is 55077340579. The reversal of 55077340560 is 6504377055.

It is a super-2 number, since 2×55077340560² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13702231 + ... + 13706249.

It is an arithmetic number, because the mean of its divisors is an integer number (605653200).

Almost surely, 2^55077340560 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 55077340560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96904512000).

55077340560 is an abundant number, since it is smaller than the sum of its proper divisors (138731683440).

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

55077340560 is a wasteful number, since it uses less digits than its factorization.

55077340560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The spelling of 55077340560 in words is "fifty-five billion, seventy-seven million, three hundred forty thousand, five hundred sixty".